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.

$9x + 3y = -30$

$-5x = y$

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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.

This problem has been solved

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