Solve the system of equations. –9x+y=12 2x+4y= −28. What’s the answer

Answer 1

To solve the system of equations:

-9x + y = 12
2x + 4y = -28

First, we can multiply the first equation by 4 to make the coefficients of y match:

-36x + 4y = 48
2x + 4y = -28

Now, we can add the two equations together to eliminate the variable y:

(-36x + 4y) + (2x + 4y) = 48 + (-28)
-34x = 20
x = -20/34
x = -10/17

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

-9(-10/17) + y = 12
90/17 + y = 12
y = 12 - 90/17
y = 204/17 - 90/17
y = 114/17

Therefore, the solution to the system of equations is x = -10/17 and y = 114/17.