4
QuizMultiple Choice

Solving Systems of Linear Equations: Graphing — Quiz

Question 4 • Algebra I

What is the solution to the system of equations? 2 x minus y is equal to 7 y is equal to 2 x plus 3

Answer
A
2 comma 3
B
2 comma 7
C
infinite number of solutions
D
no solution

Explanation

Rewrite the first equation, 2x − y = 7, as y = 2x − 7. The second equation is y = 2x + 3. Both lines have the same slope, 2, but different y-intercepts, so they are parallel and never intersect. Therefore, the system has no solution, which is choice D.

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