Solving Equations Using Substitution Practice

Question

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Question
Solve the system of equations.
8x−3y= −22
y=10+4x(1 point)
(
,
)

Answer 1

To solve this system of equations using substitution, we need to substitute the second equation into the first equation.

First, substitute y = 10 + 4x into 8x - 3y = -22:

8x - 3(10 + 4x) = -22
8x - 30 - 12x = -22
-4x - 30 = -22
-4x = 8
x = -2

Now that we have found the value of x, substitute it back into y = 10 + 4x to find y:

y = 10 + 4(-2)
y = 10 - 8
y = 2

Therefore, the solution to the system of equations is (-2, 2).