Find the solution of the system of equations.

Question

minus, x, plus, 2, y, equals, minus, 15
−x+2y=
−15
8, x, minus, 2, y, equals, minus, 20
8x−2y=
−20

Answer 1

The system of equations can be written as:

- x + 2y = -15
8x - 2y = -20

We can solve this system by adding the two equations to eliminate the "y" variable.

(-x + 2y) + (8x - 2y) = (-15) + (-20)

Simplifying:

7x = -35

Now, we can solve for "x" by dividing both sides of the equation by 7:

x = -35/7

x = -5

Substituting this value of "x" into one of the original equations, we can solve for "y". Let's use the first equation:

- x + 2y = -15

- (-5) + 2y = -15

5 + 2y = -15

Subtracting 5 from both sides:

2y = -20

Dividing both sides by 2:

y = -20/2

y = -10

Therefore, the solution to the system of equations is x = -5 and y = -10.