alleryStart learning →Solve by substitution: x + y = -1 and y = x + 5.
A(2, -3)
B(-3, -2)
C(3, 2)
D(-3, 2)
Answer & Solution
Correct answer: D. (-3, 2)
1. The second equation is already solved for y, so substitute x + 5 in place of y in the first equation.
2. x plus (x plus 5) equals -1, which simplifies to 2x plus 5 equals -1.
3. Subtract 5 and divide by 2 to get x equals -3.
4. Substitute x = -3 into y = x + 5 to get y equals 2, giving the ordered pair (-3, 2).
_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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