Question

Solve the linear equations

2y - 2x = - 30
x = 3y + 9

Answer 1

the solution is (18, 3)

Explanation:

Let's first eliminate x. Multiply the second equation by 2, obtaining

2x = 6y + 18

Then add this result to the first equation 2y - 2x = -30:

2x = 6y + 18

2y - 2x = -30

-------------------- or

2x = 6y + 18

-2x = -30 - 2y

--------------------

0 = 4y - 12, which yields y = 3.

Substitute 3 for y in the second equation to obtain the value of x:

x = 3(3) + 9, or x = 18

Then the solution is (18, 3).

Note that we could do this faster by reducing 2y - 2x = -30 to y - x = -15

Then the second equation becomes x = 3(y) + 9, or

x = 3y + 9, with x = 18

Then 18 = 3y + 9, or 3y = 9, or y = 3 (as before)

Answer 2

1. Slope= 1.000

2. Slope= 0.333

Explanation:

Hope this helps, If you need the x and y-intercepts just let me know and I can edit.

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