Equation 1: x - 3y = -15
Equation 2: 5x + 3y = -3
To eliminate the y variable, we can add Equation 1 and Equation 2 together. This will cancel out the y term:
(x - 3y) + (5x + 3y) = -15 + (-3)
6x = -18
Now, we can solve for x by dividing both sides of the equation by 6:
6x/6 = -18/6
x = -3
Substituting the value of x back into Equation 1, we can solve for y:
-3 - 3y = -15
-3y = -15 + 3
-3y = -12
Dividing both sides of the equation by -3, we get:
-3y / -3 = -12 / -3
y = 4
Therefore, the solution to the system of linear equations is x = -3 and y = 4.
hope this helps you understand!