Solve the system by substitution.minus, 2, x, minus, 3, y, equals, 9−2x−3y=9minus, x, equals, y−x=y
Question
Solve the system by substitution.
Given the equations:
Solution
The system of equations is:
-2x - 3y = 9 -x = y
Step 1: Solve the second equation for x -x = y Multiply both sides by -1 to get: x = -y
Step 2: Substitute x = -y into the first equation -2(-y) - 3y = 9 2y - 3y = 9 -y = 9 Multiply both sides by -1 to get: y = -9
Step 3: Substitute y = -9 into the equation x = -y x = -(-9) x = 9
So, the solution to the system of equations is x = 9, y = -9.
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