Question

Using substitution to solve a linear system

Y=9-x
And
2x+3y=11

How would I solve this?

Answer 1

x = 16

y = -7

Explanation:

y = 9 - x

2x + 3y = 11

y = 9 - x

2x + 3(9 - x) = 11

y = 9 - x

2x + 27 - 3x =11

y = 9 - x

-x + 27 = 11

y = 9 - x

-x = - 16

y = 9 - 16

x = 16

y = -7

x = 16

there is only 1 solution for this equation is (16,-7)