Solving Systems of Linear Equations: Linear Combinations — Quiz
Question 1 • Algebra I
At what value of x do the graphs of the equations intersect? 2 x minus y is equal to 6 5 x plus 10 y is equal to negative 10
Answer
A
2
B
10 and 2 thirds
C
negative 2
D
negative 2 and 2 thirds
Explanation
From 2x − y = 6, solve for y to get y = 2x − 6. Substitute this into 5x + 10y = −10: 5x + 10(2x − 6) = −10, so 25x = 50 and x = 2. The graphs intersect at x = 2, choice A.
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