Solve the system by substitution.minus, 7, x, minus, 2, y, equals, minus, 38−7x−2y=−38minus, 3, y, equals, x−3y=x
Question
Solution
The system of equations is:
-7x - 2y = -38 -3y = x
Step 1: Solve the second equation for x:
x = -3y
Step 2: Substitute x = -3y into the first equation:
-7(-3y) - 2y = -38 21y - 2y = -38 19y = -38
Step 3: Solve for y:
y = -38 / 19 y = -2
Step 4: Substitute y = -2 into the second equation to solve for x:
x = -3(-2) x = 6
So, the solution to the system of equations is x = 6, y = -2.
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