Solving Systems: Introduction to Linear Combinations
Question 4 • Algebra III A
What is the x-value in the solution to this system of linear equations?2x − y = 11x + 3y = −5
Answer
A
−3
B
−1
C
2
D
4
Explanation
From 2x − y = 11, solve for y to get y = 2x − 11. Substitute into x + 3y = −5: x + 3(2x − 11) = −5, so 7x − 33 = −5 and 7x = 28. Thus x = 4, which is choice D.
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