Question

Help me with this math problem please

Answer 1

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

Answer 2

Answer:

$y=8$

$RS=77, ST=31$

Step-by-step 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:

$ST=31$