Find the solution of the system of equations.minus, x, minus, 3, y, equals, minus, 3−x−3y=−3x, minus, 6, y, equals, minus, 24x−6y=−24

Question

Find the solution of the system of equations.

Equation 1:
$-x - 3y = -3$
Equation 2:
$-x - 6y = -24$

Solve for x and y.

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Solution

The given system of equations is:

-x - 3y = -3
x - 6y = -24

Let's solve it step by step:

Step 1: Rewrite the first equation to isolate x:

-x = 3 - 3y x = 3y - 3

Step 2: Substitute x in the second equation:

(3y - 3) - 6y = -24 -3y - 3 = -24 -3y = -21 y = 7

Step 3: Substitute y = 7 into the first equation:

-x - 3*7 = -3 -x - 21 = -3 -x = 18 x = -18

So, the solution to the system of equations is x = -18, y = 7.

This problem has been solved

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