Question

Estimate the solution to the system of equations: 7x - y = 7 and 2 + 2y = 6.

A) x = 1, y = 0
B) x = 2, y = 1
C) x = 3, y = 2
D) x = 4, y = 3

Answer 1

To estimate the solution to the system of equations, we solve the second equation for y and substitute the value of y into the first equation. The estimate of the solution is x = 6/7 and y = 1.

Step-by-step explanation:

To estimate the solution to the system of equations: 7x - y = 7 and 2 + 2y = 6, we can solve the second equation for y: y = (6 - 2) / 2 = 2 / 2 = 1. Substituting this value of y into the first equation, we get: 7x - 1 = 7. Solving for x, we find: x = (7 - 1) / 7 = 6 / 7. Therefore, the estimate of the solution to the system of equations is x = 6/7 and y = 1.