alleryStart learning →Solve by elimination: 3x - 2y = -2 and 5x - 6y = 10.
A(-4, -5)
B(-5, -4)
C(4, 5)
D(-4, 5)
Answer & Solution
Correct answer: A. (-4, -5)
1. Multiply the first equation by -3 to make the y-coefficients opposites: -9x plus 6y equals 6.
2. Add this to the second equation, 5x minus 6y equals 10: -4x equals 16, so x equals -4.
3. Substitute x = -4 into 3x - 2y = -2 to get -12 minus 2y equals -2, so y equals -5.
4. Check: 3(-4) minus 2(-5) equals -12 plus 10, which equals -2, matching the first equation.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.3 Solve Systems of Equations by Elimination_
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