Find the solution of the system of equations.
minus, 6, x, minus, 10, y, equals, minus, 18
−6x−10y=
−18
minus, 3, x, plus, 10, y, equals, 36
−3x+10y=
36
The system of equations can be written as:
-6x - 10y = -18
-3x + 10y = 36
To solve this system, we can use the method of elimination.
First, multiply the second equation by -2 to eliminate the y term:
6x - 20y = -72
Add this equation to the first equation:
[-6x - 10y] + [6x - 20y] = [-18] + [-72]
-30y = -90
Simplify:
y = -90 / -30
y = 3
Substitute this value of y into the second equation to solve for x:
-3x + 10(3) = 36
-3x + 30 = 36
-3x = 6
x = 6 / -3
x = -2
Therefore, the solution to the system of equations is x = -2 and y = 3.