223k views
20 votes
Solve the linear equations

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

User Ravenwing
by
8.0k points

2 Answers

5 votes

Answer:

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)

User Shadowmatter
by
8.2k points
2 votes

Answer:

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.

Brain-List?

User Eve
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories