Question

Help me with this math problem please

Answer 1

Your answers are
Y=8
RS= 77
ST= 31

Answer 2

`y=8`

`RS=77, ST=31`

Explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

`RT=RS+ST`

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

`108=(9y+5)+(3y+7)`

On the right, combine like terms:

`108=(9y+3y)+(5+7)`

Add:

`108=12y+12`

Subtract 12 from both sides. The right cancels:

`96=12y`

Divide both sides by 12:

`y=8`

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

`RS=9y+5`

Substitute 8 for y:

`RS=9(8)+5`

Multiply:

`RS=72+5`

Add:

`RS=77`

Do the same for ST:

`ST=3y+7`

Substitute 8 for y:

`ST=3(8)+7`

Multiply:

`ST=24+7`

Add:

`ST=31`