Question

Solve the following system of equations: -4+7y=-18 and 2-5y=18. What is the solution to this system?

Answer 1

The system of equations -4 + 7y = -18 and 2 - 5y = 18 does not have a solution because the isolated values for y from both equations do not match, indicating the lines are parallel and do not intersect.

Step-by-step explanation:

To solve the system of equations -4 + 7y = -18 and 2 - 5y = 18, follow these steps:

Isolate the variable y in each equation.

1. In the first equation, add 4 to both sides:

1. 7y = -18 + 4

1. 7y = -14

1. Divide both sides by 7:

1. y = -2

1. Repeat the steps for the second equation, subtract 2 from both sides:

1. -5y = 18 - 2

1. -5y = 16

1. Divide both sides by -5:

1. y = -3.2

1. Now we have two values for y which should be the same in the solution to the system of equations, but they are not, suggesting there is no solution where both equations are true. This means the two lines represented by the equations are parallel and do not intersect.

Therefore, the solution to the system of equations is that there is no solution because the lines are parallel and never intersect.