10
QuizMultiple Choice

Solving Linear Systems by Substitution — Quiz

Question 10 • Algebra II

What is the solution to the following system of equations? x plus y is equal to 5 x minus y is equal to 1

Answer
A
open paren 7 comma negative 2 close paren
B
open paren 3 comma 2 close paren
C
open paren negative 2 comma 7 close paren
D
open paren 2 comma 3 close paren

Explanation

Add the equations x + y = 5 and x − y = 1 to eliminate y: 2x = 6, so x = 3. Substitute into x + y = 5 to get 3 + y = 5, so y = 2. The solution is (3, 2), choice C.

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