Question

Find the values of x and y. Show your work.

Answer 1

Use proportions:

(7x-4)/31 = (4y+8)/24 = (y+2)/6

Multiply:

6*(7x-4) = 31*(y+2)---> 42x-24 = 31y+62 ---> 11y = 86, y = 86/11

I don;t like that is looks 'ugly', instead of sth like y = 88/11=8. I think 86/11 is the answer. Check the math! :)

Answer 2

the value of x and y are, 5 and 4

Explanation:

SSS(Side Side Side) postulate states, that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

In given triangle ABC and triangle CDE as shown in attachment , by above theorem ,we have

`AB\cong BC`

⇒
`7x-4=31`

`7x=35`

∴
`x=5`

also,
`BC\cong DE`

⇒
`4y+8=24`

simplify:

`4y=16`

∴
`y=4`

Hence, the value of x=5 and y=4.