Question

For what value of R does the equation have a solution of X = 9.5?

7 (5x - R) + 3r = 173.5

Show how you got your answer step-by-step.​

Answer 1

R = 39.75

Explanation:

7 (5x - R) + 3r = 173.5

let x = 9.5 as given

solve for R

substitute the value of x=9.5 into the equation:

7 (5 * 9.5 - R) + 3R = 173.5

7 (47.5 - R) + 3R = 173.5 expand

332.5 - 7R + 3R = 173.5 combine similar terms

332.5 - 173.5 = 7R - 3R simplify

159 = 4R divide 4 on each side

R = 159/4 simplify

R = 39.75

Answer 2

r=39.75

Explanation:

7(5*9.5-R)+3r=173.5

7(47.5-R)+3r=173.5

332.5-7R+3r=173.5

332.5-4r=173.5

4r=332.5-173.5

4r=159

r=159/4

r=39.75