To solve the system of equations, we will use the method of elimination.
Given equations:
6x - 5y = 27
3x + 5y = 36
First, we will add the two equations together to eliminate the variable y:
(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
x = 7
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's substitute x = 7 into the first equation:
6(7) - 5y = 27
42 - 5y = 27
-5y = -15
y = 3
Therefore, the solution to the system of equations is (7, 3).
solve the system of equations.
6x- 5y = 27
3x + 5y = 36
(_,_)
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