Question

The solution of the system of equations. -6x+6y=-24 -6x+9y=-45 Submit Answer

Answer 1

x = -3

y = -7

Step-by-step explanation:

-6x + 6y = -24

-6x + 9y = -45

We can subtract these equations so that the 'x' terms zero out (remember, when you subtract, you are 'adding the opposite'); for example -6 - (-6) = 0

so we can add the first equation to the opposite of the second equation:

-6x + 6y = -24

+ 6x - 9y = 45

We now have: -3y = 21; therefore, y = -7

We can solve for 'x' by substituting -7 for 'y':

-6x + 6(-7) = -24

-6x - 42 = -24

add 42 to each side:

-6x = 18; therefore, x = -3

Answer 2

To solve the system of equations, use the method of elimination. Multiply the first equation by 3 and the second equation by 2 to eliminate x. Solve for y and substitute the value back into one of the original equations to solve for x.

Step-by-step explanation:

To solve the system of equations, we can use the method of elimination. We want to eliminate one variable, either x or y, so that we can solve for the other variable.

Let's eliminate x. We can do this by multiplying the first equation by 3 and the second equation by 2. This will make the coefficients of x in both equations equal and we can subtract the equations to eliminate x.

After performing the elimination, we get the equation 3y = -21. Solving for y gives y = -7.

Substituting the value of y back into one of the original equations, we can solve for x.