Solving Equations Using Substitution Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Solve the system of equations.
8x−3y= −22
y=10+4x(1 point)
(
,
)
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).