15
QuizMultiple Choice

Solving Systems of Linear Equations: Linear Combinations — Unit test

Question 15 • CA-Mathematics I

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13

Answer
A
−3
B
−1
C
2
D
5

Explanation

Read the system as 3x + 5y = 1 and 7x + 4y = −13. Multiply the first equation by 7 and the second by 3: 21x + 35y = 7 and 21x + 12y = −39. Subtracting the second equation from the first gives 23y = 46, so y = 2. The correct choice is 2.

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