alleryStart learning →Solve by substitution: x - 2y = -2 and 3x + 2y = 34.
A(5, 8)
B(8, 5)
C(8, -5)
D(-8, 5)
Answer & Solution
Correct answer: B. (8, 5)
1. Solve the first equation for x: x equals 2y minus 2.
2. Substitute into the second equation: 3(2y minus 2) plus 2y equals 34.
3. Distribute and simplify: 6y minus 6 plus 2y equals 34, so 8y equals 40, giving y equals 5.
4. Substitute y = 5 into x - 2y = -2 to get x equals 8, giving the ordered pair (8, 5).
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.2 Solve Systems of Equations by Substitution_
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