what are 6x–5y=27 and 3x+5y=36 answers using the system of equations.

Answer 1

To find the answers using the system of equations, we want to solve for x and y. We can use the method of substitution or elimination.

Let's use the elimination method. First, add both equations together to eliminate y:

(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63

Now, divide by 9 to find x:

x = 7

Now that we have the value of x, substitute it into one of the equations to find y. Let's use the second equation:

3x + 5y = 36
3(7) + 5y = 36
21 + 5y = 36

Subtract 21 from both sides:

5y = 15

Divide by 5 to find y:

y = 3

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