Question

Substitiution method i really need help

Answer 1

Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7