What is the solution to the system of equations? y = 2x - 3.5 and x - 2y = -14

Solution:

y = 2x - 3.5 …. (1)

x - 2y = -14 …. (2)

Let us use the elimination method to solve the system of linear equations.

Multiply equation (1) by 2

2y = 4x - 7

- 4x + 2y = -7 …. (3)

By adding equation (2) and (3)

- 3x = - 21

Divide both sides by - 3

x = 7

Substitute the value of x in equation (1)

y = 2 (7) - 3.5

By further calculation

y = 14 - 3.5

y = 10.5

Therefore, the solution is (7, 10.5).

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What is the solution to the system of equations? y = 2x - 3.5 and x - 2y = -14

Summary:

The solution to the system of equations y = 2x - 3.5 and x - 2y = -14 is (7, 10.5).