Solve the system of linear equations by substitution.
2x - 7y = 0
3x - 8y = 5
A) (-7, 2)
B) (2, 7)
C) (7, 2)
D) (-7, -2)

Question

Quizplus · Accepted Answer

First, solve one of the equations for x or y. From the first equation, 2x = 7y, so x = 7y/2. Substitute x in the second equation: 3(7y/2) - 8y = 5. Simplify and solve for y: 21y/2 - 8y = 5, which simplifies to y = 2. Substitute y = 2 into x = 7y/2 to find x = 7. Therefore, the solution is (7, 2).

Solve the System of Linear Equations by Substitution