Solve for the system of equations

Question

6x-5y=27

3x+5y=36

Answer 1

To solve this system of equations, we can use the method of elimination.

First, let's add the two equations together to eliminate the y variable:

(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
Divide both sides by 9:
x = 7

Now substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

6(7) - 5y = 27
42 - 5y = 27
Subtract 42 from both sides:
-5y = -15
Divide both sides by -5:
y = 3

So the solution to the system of equations is x = 7 and y = 3.