Home › NY Regents Algebra I › Mathematics › Systems of Linear Equations › Solve by substitution: y = -2x + 5 and y = (1/2)x.
Solve by substitution: y = -2x + 5 and y = (1/2)x.
A(1, 2)
B(-2, -1)
C(2, 1)
D(2, -1)
Answer & Solution
Correct answer: C. (2, 1)
1. Since both equations are already solved for y, substitute one-half x in place of y in the first equation.
2. One-half x equals -2x plus 5.
3. Multiply every term by 2 to clear the fraction: x equals -4x plus 10, so 5x equals 10, giving x equals 2.
4. Substitute x = 2 into y = one-half x to get y equals 1, giving the ordered pair (2, 1).
_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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