Solve the system of equations. 6x–5y=27 3x+5y=36 (1 point)

Answer 1

To solve the system of equations, we can add the two equations together to eliminate the y variable.

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

Combining the terms and simplifying the right side:

9x = 63

Dividing both sides by 9:

x = 7

Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y.

6x - 5y = 27

(6 * 7) - 5y = 27

42 - 5y = 27

Subtracting 42 from both sides:

-5y = -15

Dividing both sides by -5:

y = 3

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

Answer 2

Solve the system of equations. 2x+8y=8 2x−4y=−16 (1 point)