Question

Help me please !! i need the answer

Answer 1

Answer:

$PQ=22\\\\QR=7\\\\PR=29$

Step-by-step explanation:

To find the value of y, you can create an equation where two parts of the line are equal to the whole line:

$PQ+QR=PR$

Substitute given values:

$(8y+6)+(y+5)=(19y-9)$

Solve for y. Simplify parentheses:

$8y+6+y+5=19y-9$

Combine like terms to simplify the equation:

$8y+y+6+5=19y-9\\\\9y+11=19y-9$

Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:

$9y+11+9=19y-9+9\\\\9y+20=19y$

Subtract 9y from both sides:

$9y-9y+20=19y-9y\\\\20=10y$

Isolate the variable. Divide both sides by 10:

$\frac{20}{10} =\frac{10y}{10} \\\\y=2$

The value of y is 2. Insert this value into each line segment value and solve:

$PQ=8(2)+6\\\\PQ=16+6\\\\PQ=22$

$QR=(2)+5\\\\QR=7$

$PR=19(2)-9\\\\PR=38-9\\\\PR=29$

:Done

You can check by using:

$PQ+QR=PR\\\\22+7=29$

This statement is true, so the values are correct.