Question

Please help! Chapter test tomorrow!!
PLEASE i need to show the work, the equations.

Answer 1

#1:

`4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15`

#2:

Part 1: Solve for x

`6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8`

Part 2: Plug in x for PQ

`6(8) - 7\\\\48 - 7\\\\41`

The length of segment PQ is 41.

Part 3: Plug in x for QR

`5(8) + 1\\\\40 + 1\\\\41`

The length of segment QR is 41.

Part 4: Length of PQ + length of QR = length of PR

PQ + QR = PR

41 + 41 = PR

82 = PR

The length of segment PR is 82.

Answer 2

x=6

Explanation:

4x-15=2x-3

+15 +15

4x=2x=12

/2 /2 +12

2x=12

/2 /2

x=6