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.minus, x, minus, 3, y, equals, minus, 3−x−3y=−3x, minus, 6, y, equals, minus, 24x−6y=−24
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.
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