use substitution method to solve system
{6x+5y=-65}
{y=-6x-37}
To solve the system of equations using the substitution method, we'll start by substituting the expression for y in the second equation into the first equation:
6x + 5(-6x - 37) = -65
Simplifying this equation, we get:
6x - 30x - 185 = -65
Combining like terms:
-24x - 185 = -65
Adding 185 to both sides of the equation:
-24x = 120
Dividing both sides by -24:
x = -5
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's substitute it into the second equation:
y = -6(-5) - 37
Simplifying:
y = 30 - 37
y = -7
Therefore, the solution to the system of equations is x = -5 and y = -7.