Solve the system by substitution.9, x, plus, 3, y, equals, minus, 309x+3y=−30minus, 5, x, equals, y−5x=y
Question
Solve the system by substitution.9, x, plus, 3, y, equals, minus, 309x+3y=−30minus, 5, x, equals, y−5x=y
Solution
Sure, let's solve the system of equations step by step.
We have two equations:
- 9x + 3y = -30
- -5x = y
Step 1: Solve the second equation for y:
y = -5x
Step 2: Substitute y in the first equation with -5x:
9x + 3(-5x) = -30 9x - 15x = -30 -6x = -30
Step 3: Solve for x:
x = -30 / -6 x = 5
Step 4: Substitute x = 5 into the second equation to solve for y:
y = -5(5) y = -25
So, the solution to the system of equations is x = 5 and y = -25.
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