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

If PR=4x-2 and RS=3x-5, which expression represents PS? x-7 x-3 7x-7 7x+3
Transcript text: If $\mathrm{PR}=4 x-2$ and $\mathrm{RS}=3 x-5$, which expression represents PS? $x-7$ $x-3$ $7 x-7$ $7 x+3$
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Solution

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Solution Steps

Step 1: Analyze the given information

We are given that PR = 4x - 2 and RS = 3x - 5. We are looking for the expression representing PS.

Step 2: Find the expression for PS

From the image, we can see that PS = PR + RS.

Step 3: Substitute and Simplify

PS = (4x - 2) + (3x - 5) PS = 4x - 2 + 3x - 5 PS = 7x - 7

Final Answer

7x - 7

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