Solve the system of linear equations by elimination. 3x−30=y
7y−6=3x

please explain

y = 6; x = 12

Step-by-step explanation:

3x - 30 = y

Change this into an equation where x and y are in the same side.

3x - 30 = y

Subtract y from both sides

3x - y - 30 = 0

Add 30 to both sides

3x - y = 30

7y - 6 = 3x

Do the same thing I did to the first equation

7y - 6 = 3x

Subtract 3x from both sides

-3x + 7y - 6 = 0

Add 6 to both sides

-3x + 7y = 6

We can now use the system of elimination to find x and y.

3x - y = 30

-3x + 7y = 6

After adding both equations, you get:

6y = 36

Divide 6 from both sides

y = 6

Since we now know y, we can solve for x.

3x - 30 = y

Substitute y for 6

3x - 30 = 6

Add 30 to both sides

3x = 36

Divide both sides by 3

x = 12

Hope this helped!

0.6

39mph

step-by-step explanation: