Question

Solve the system by substitution.
x = – 4y + 6
2x + 9y = 16​

Answer 1

Explanation:

x = -4y + 6

Now,

Substituting the value of x on 2x + 9y = 16, we get -.

2(-4y + 6) + 9y = 16

-8y + 12 + 9y = 16

y = 16 - 12

y = 4

Now,

Substituting the value of y on 2x + 9y = 16, we get -

2x + 9(4) = 16

2x = 16 - 36

2x = -20

x = -10

Hence,

The value of x is -10 and y is 4.