Find the solution of the system of equations.
minus, x, plus, 2, y, equals, minus, 15
−x+2y=
−15
8, x, minus, 2, y, equals, minus, 20
8x−2y=
−20
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.