Question

use the substituition method to solve the system of equation. choose the correct ordered pair 2x+y=8 y= -x+5

Answer 1

Hello!

The answer is:

`x=3\\y=2`

Ordered pair: (3,2)

Why?

The substitution method for solving system of equations consists in finding the solution by isolating and substituting each variable value into the given equations, doing that, all the variable value can be found.

So, we are given two equations:

`2x+y=8\\y= -x+5`

We need to substitute (y) into the first equation,so:

`2x+(-x+5)=8`

`2x-x+5=8`

`x+5=8`

`x=8-5`

`x=3`

Now that we know "x" we need to substitute it into the second equation, so:

`y=-(3)+5`

`y=2`

Hence,

`x=3\\y=2`

So, the ordered pair will be: (3,2)

Have a nice day!

Answer 2

Ordered pair = (3, 2)

Explanation:

We are given the following equations and we are to solve them by substitution method:

`2x+y=8` --- (1)

`y= -x+5` --- (2)

Substituting the value of y from equation (2) to (1):

`2x+(-x+5) = 8`

`2x-x+5=8`

`x = 8-5`

x = 3

Substituting this value of x in equation (2):

`y = -(3)+5`

y = 2

So the ordered pair is (3, 2).