Question

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS? x – 7 x – 3 7x – 7 7x + 3

Answer 1

we have that

$PR = 4x - 2\\RS = 3x - 5$

we know that

$PS=PR+RS$

substitute the values of PR and RS in the formula above

$PS=(4x-2)+(3x-5)$

Combine like terms

$PS=(7x-7)$

therefore

the answer is

$PS=(7x-7)$

Answer 2

The expression which represents PS is; 7x -7

Addition of algebraic expressions

According to the question;

• The segment, PR = 4x – 2 and RS = 3x – 5.

• We are required to find; PS.

From observation;

• PS = PR + RS

• PS = 4x -2 + 3x -5

• PS = 4x + 3x -2 -5

• PS = 7x -7.

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