Solve the system of linear equations below by substitution.

x + y = 5

2x - y = 7
Answer choices

(3, 2)

(2, 3)

(1, 4)

(4, 1)

Answers

Answer 1

Answer:

4,1

Step-by-step explanation:

x+y=5 2x-y=7

x=5-y 2(5-y)-y=7

10-2y-y=7

10-3y=7

10-7=3y

3=3y

1=y

substitutes y=1 in x+y=5

x+1=5

x=5-1

x=4

(4,1)

check:

x+y=5

4+1=5


Related Questions

Find the zero of the equation f(x) = 5x - 20

Answers

Answer:

x=4 would make the equation 0

5(4)-20

20-20

0

Step-by-step explanation:

For the graph x = 1 find the slope of a line that is perpendicular to it and the slope of a line parallel to it.
Explain your answer with two or more sentences

Answers

Answer:

Step-by-step explanation:

Firstly we know that in geometry parallel lines have the same slope

[tex]m_1=m_2[/tex]

and ,

perpendicular lines have the slope denoted by the formula  

[tex]m_1m_2=-1[/tex].

Secondly ,

x = 1 is a line that is parallel to the y-axis, and any line parallel to the y-axis has undefined slope.

and the slope of a line perpendicular to x = 1 would be parallel to the x-axis and any line parallel to the x-axis has the slope of zero.

Slope for parallel line is undefined and slope for perpendicular line is zero.

What is slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Given:

graph equation, x=1

The slope for parallel line is

m1 = m2

and, the slope for perpendicular lines is

m1 * m2 =-1

As, x = 1 is a line is parallel to the y-axis, and line parallel to the y-axis has undefined slope.

Also, the slope of a line perpendicular to x = 1 would be parallel to the x-axis.

So, line will have the slope zero.

Learn more about slope here:

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What is this I need help please

Answers

Answer:

- 4

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Round 74.3451783 to the nearest tenth​

Answers

Answer: 74.3451780 since 83 is closer to 80

Answer:

74.4

Step-by-step explanation:

74.3451783

74.345178

74.34518

74.3452

74.345

74.35

74.4

Hope this helps

out of 300 students surveyed 17 have a dog predict how many of the 300 in school have a dog

Answers

Answer:

17/300.

Step-by-step explanation:

17/300 students have a dog.

Answer:

17

Step-by-step explanation:

use ur head. head ur use. done

.A restaurant offers a dinner special for $25 per person plus a five dollar per person tip. Select all the expressions that represent the total cost of the special for m people. Select all that apply.

Answers

Answer:

which are the chocies???

Answer:

I don't know what the choices are but maybe y=25x+5

Step-by-step explanation:

= 24x - 20
|
Thank you for helping <3

Answers

Answer:

It is. 4 ( 6x- 5) Hope this helped

Two students are 1 foot apart on a straight path. Each student starts walking away from the other at the same moment. The first student walks at a rate of 3 feet per second, and the second student’s rate is 1.5 times the first student’s rate. If x represents seconds, which equation can be used to determine how long it will take for the students to be a total of 28 feet apart?

Answers

Answer:

3x + 4.5x + 1 = 28

3.6 seconds

Step-by-step explanation:

Initial distance apart = 1 foot

Student A:

Walk rate = 3 ft per second

Student B:

1.5*3 = 4.5 ft per second

How long it will take to be a total of 28 feets apart

Distance = speed * time

Let time = x in seconds

Student A distance = 3x

Stident B distance = 4.5x

Initial distance = 1 foot

3x + 4.5x + 1 = 28

7.5x = 28 - 1

7.5x = 27

x = 27/ 7.5

x = 3.6 seconds

helpp pls!!!!..........

Answers

Answer:

smallest -17/4, -3.95, -square root of 15, -3 6/7, -3 1/4, -3.2 largest

Step-by-step explanation:

turn the fractions and square root into decimal and put from smallest to largest

I Just need to know the sequences

Answers

Answer:

look it up on geometric site

Step-by-step explanation:

What are living things orginzed by?

Answers

Answer:

Organelle, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere.

Step-by-step explanation:

40 points!!!

What is the overlap of Team 1 and Team 2?


high

medium

low

none

Answers

i think it would be the first

Answer:

option a is the answer

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

What are the next 2 terms?

-3.6, -5.4, -8.1, -12.15...​

Answers

Answer:

3.6

Step-by-step explanation:

find a number that is exactly halfway between 1 and 27

Answers

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

What is the circumference of a circle with a diameter of 10 feet? Use 3.14 for
TT.
d = 10 ft
A. 62.8 ft
B. 31.4 ft
C. 13.14 ft
D. 15.7 ft




help pls

Answers

Answer:

C

Step-by-step explanation:

let me know If I am wrong

Answer:

31.42 ft

Step-by-step explanation:

C = 2pi times r

d = 2 r

C = pi times 10 = 31.42 ft

a city has 12575 residents a number president grown by 1.6% every year to the nearest whole resident what will the city population be in 2 years​

Answers

Answer:

12977.4 or just 12977

Step-by-step explanation:

Hello can anyone pls show me how to divide 54.36 ÷ 18??

Answers

Answer:

3.02 hope this helps!

Please help me with this question!!

Answers

Answer:

it is attached 18sqrt3

Step-by-step explanation:

this is a 30 60 90 triangle which if u follows the rules of leg measurements u will find that leg a is always xsqrt3 and since x is 2x, that means ur x is 18 given that c is twice x for it's leg so now that x is 18 slap that on for x of leg a to get 18sqrt3

Solve the equation.
d – 267 = 145
A. d= 412
B. d=283
C. d=557
D. d=567
Please help me

Answers

Answer:

A. d=412

Step-by-step explanation:

d−267+267=145+267

d=412

Answer:

412

Step-by-step explanation:

d–267=145

d=145+267(sign changes)

d=412

Let R= {0,1,2,3} be the range of h(x)=x-7. The domain of h-1(x) is?

Answers

Answer:

The domain of the inverse is R

Step-by-step explanation:

Here, we want to find the domain of the inverse of the function

Mathematically, the domain of the inverse of the function is the range for the original

function

In other words, the domain of the inverse of h(x) is the range of h(x)

15b. Find the sum of the measures of the exterior angles of a nonagon.
A. 180°
B. 1260 °
C. 140 °
D. 360°

Answers

Answer:

The sum of angles of the exterior angles of a nonagon is 360°.

?!?!?!?!?!?!?!!?!?!!?!neeeed help

Answers

Answer:

answer is = 43.12 or approx = 43.1 cm

If Josh can run 1.5 miles in 12 minutes, how long will it take him to run a mile?

Answers

Answer:

9 minutes

Step-by-step explanation:

12 divided by 1.5 is 9.

Answer: 8 I think

Step-by-step explanation: 12 ÷ by 1.5 = 8

Hope I helped! :)

can I get some assistance ​

Answers

Answer:

subtract 1.3 from both sides to get x> -3.2

Step-by-step explanation:

The answer is x>3.2 I think

Binomial Theorem -

fourth term (x^2-2y)^11

Answers

fat 34 now decide that by (2-34?) now go

what would the area be

Answers

Answer:

is there a picture?

Step-by-step explanation:

Answer:

The outside of a shape multiplied by another.

Ex. 4 x 3 x 4 x 3 is a example of the area of a square  

Ex 2. 9 x 5 x 6 Is a example of the area of a triangle

Step-by-step explanation:

Hope this helps! :)))

write the whole numbers that are in a between the pairs
a 4 and 8
b 12 and 16

Answers

Step-by-step explanation:

student

whole number between 4 and 8 is 5,6 and7

and between 12 and 16 is 13,14 and 15

Answer:

a) 5,6,7

b) 13,14,15

Step-by-step explanation:

Which list orders the numbers from least to greatest?

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3

Answers

Answer: -3, -2.4, -2 1/4, -1.5, -1 1/8

Step-by-step explanation:

The list that orders the numbers from least to greatest is; -3, -2.4, -2 1/4, -1.5, -1 1/8

What is a number line?

Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.

We have been given number line going from negative 4 to positive 4.

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

For this we need to remember the number line, we have that that:

-3 <-2.4 < -2 < 1/4 <-1.5 < -1 <  -1 1/8< 0

We go from the big negative numbers, to the small negative numbers, the zero, the small positive numbers, the big positive numbers.

Therefore, the numbers from least to greast the correct options are:

-3, -2.4, -2 1/4, -1.5, -1 1/8

Learn more about number line here:

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Pleaseeee helppppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

There are 8 boys for every 10 girls. This is 6 equal groups. Equal ratio

Step-by-step explanation:

Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).​

Answers

Answer:

The domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].

Step-by-step explanation:

Let [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex], which is rearranged by algebraic means:

1) [tex]f(5\cdot x ) = \frac{x-5}{5\cdot x-1}[/tex]  Given

2) [tex]f(5\cdot x) = \frac{x\cdot 1 - 5}{5\cdot x -1}[/tex] Modulative property

3) [tex]f(5\cdot x) = \frac{5^{-1}\cdot (5\cdot x)-5}{5\cdot x -1}[/tex] Existence of multiplicative inverse/Associative and commutative properties.

4) [tex]f(x) = \frac{5^{-1}\cdot x - 5}{x-1}[/tex] Composition of functions.

5) [tex]f(x) = \frac{(5^{-1}\cdot x-5)\cdot (5\cdot 5^{-1})}{x-1}[/tex] Existence of multiplicative inverse/Associative property.

6) [tex]f(x) = \frac{(x-25)\cdot 5^{-1}}{x-1}[/tex]  Commutative, associative and distributive properties/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction

7) [tex]f(x) = (x-25)\cdot [5^{-1}\cdot (x-1)^{-1}][/tex] Definition of division/Associative property

8) [tex]f(x) = (x-25)\cdot (5\cdot x -5)^{-1}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Distributive property/[tex]a\cdot (-b) =-a\cdot b[/tex]/Definition of subtraction

9) [tex]f(x) = \frac{x-25}{5\cdot x - 5}[/tex] Definition of division/Result

The domain of a polynomial-based rational function consists in all values of the real set except values where denominator equals zero. The value of [tex]x[/tex] such that rational function becomes undefined is:

1) [tex]5\cdot x - 5 = 0[/tex]  Given

2) [tex]5\cdot (x-1) = 0[/tex] Distributive property

3) [tex][5\cdot (x-1)]\cdot 5^{-1} = 0\cdot 5^{-1}[/tex] Compatibility with multiplication

4) [tex](x-1)\cdot (5\cdot 5^{-1}) = 0[/tex] Commutative and associative properties/[tex]a\cdot 0 = 0[/tex]

5) [tex]x-1 = 0[/tex] Existence of multiplicative inverse/Modulative property

6) [tex]x+[1+(-1)] = 1+0[/tex] Compatibility with addition/Commutative and associative properties

7) [tex]x = 1[/tex] Existence of additive inverse/Modulative property/Result

Hence, the domain of [tex]f(x)[/tex] is [tex]Dom \{f(x)\} = \mathbb{R}-\{1\}[/tex].

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