Solve the system of equations.

–9x+y=12
2x+4y= −28(1 point)

3 answers

To solve the system of equations, we can use either substitution or elimination method.

Using substitution:
- Solve one equation for one variable in terms of the other variable.
- Substitute the expression obtained for that variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value obtained back into one of the original equations to find the value of the other variable.

Here is how to use substitution to solve the system of equations:

- Solve the first equation for y:
y = 9x + 12

- Substitute this expression for y in the second equation:
2x + 4(9x + 12) = -28

- Simplify the equation by distributing 4:
2x + 36x + 48 = -28

- Combine like terms:
38x + 48 = -28

- Subtract 48 from both sides:
38x = -76

- Divide by 38:
x = -2

- Substitute x = -2 into the first equation to find y:
-9(-2) + y = 12
y = 12 + 18
y = 30

Therefore, the solution to the system of equations is:
x = -2 and y = 30.
Try again, y is incorrect
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