ind the solution of the system of equations.9, x, minus, 2, y, equals, minus, 509x−2y=−50minus, 3, x, plus, 7, y, equals, 4−3x+7y=4AnswerAttempt 2 out of 2
Question
ind the solution of the system of equations.9, x, minus, 2, y, equals, minus, 509x−2y=−50minus, 3, x, plus, 7, y, equals, 4−3x+7y=4AnswerAttempt 2 out of 2
Solution
The system of equations is:
- 9x - 2y = -50
- -3x + 7y = 4
Let's solve this system step by step:
Step 1: Multiply the first equation by 3 and the second equation by 9 to make the coefficients of x the same in both equations:
27x - 6y = -150 -27x + 63y = 36
Step 2: Add the two equations together:
27x - 6y - 27x + 63y = -150 + 36 57y = -114
Step 3: Divide both sides by 57 to solve for y:
y = -114 / 57 y = -2
Step 4: Substitute y = -2 into the first equation:
9x - 2(-2) = -50 9x + 4 = -50 9x = -54 x = -54 / 9 x = -6
So, the solution to the system of equations is x = -6, y = -2.
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