Question

In a parallelogram, one side equals 4y-13 and its opposite side equals 15-x. The other side equals 3x-5 and its opposite side equals y+1. Find x and y.

Answer 1

We can set up two equations:

4y - 13 = 15 - x
3x - 5 = y + 1

We can change the 2nd equation and solve for 'y':

3x - 5 = y + 1

Subtract 1 to both sides:

3x - 6 = y

Plug in '3x - 6' for 'y' in the 1st equation:

4y - 13 = 15 - x

4(3x - 6) - 13 = 15 - x

Distribute 4 into the parenthesis:

12x - 24 - 13 = 15 - x

Combine like terms:

12x - 37 = 15 - x

Add 'x' to both sides:

13x - 37 = 15

Add 37 to both sides:

13x = 52

Divide 13 to both sides:

x = 4

Now we can plug this back into any of the two equations and solve for the 'y' value.

3x - 5 = y + 1

3(4) - 5 = y + 1

Multiply:

12 - 5 = y + 1

Combine:

7 = y + 1

Now subtract 1 to both sides, what's 7 - 1? @jackl

Answer 2

Can you subtract 7 - 1? @jackl

Answer 3

6

Answer 4

Yes, so our full answer is:

(4, 6)

Answer 5

\(\bbox [10pt, lime, border:5pt solid black]{\Huge\sf\color{blue}{Welcome\ to\ \color{#00A1FF}{Open}\color{#329932}{Study!!!}}}\)

You can give medals by clicking 'Best Response'.

Answer 6

I really appreciate it!! I understand now!

Answer 7

No problem!