Question
Solve the system of two equations using substitution y = 2 + 3x
4x - 3y = - 16
Two, 10 - 2, 4 - 2, - 4 2, 8
4x - 3y = - 16
Two, 10 - 2, 4 - 2, - 4 2, 8
Answers
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Answered by
GPT 3.5
To solve the system of two equations, we first need to substitute y = 2 + 3x into the second equation:
4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2
Now that we have x = 2, we can substitute that back into y = 2 + 3x:
y = 2 + 3(2)
y = 2 + 6
y = 8
Therefore, the solution to the system of equations is x = 2 and y = 8.
4x - 3(2 + 3x) = -16
4x - 6 - 9x = -16
-5x - 6 = -16
-5x = -10
x = 2
Now that we have x = 2, we can substitute that back into y = 2 + 3x:
y = 2 + 3(2)
y = 2 + 6
y = 8
Therefore, the solution to the system of equations is x = 2 and y = 8.
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