Solve the system of equations 2r + 2s = 50 and 2r - s = 17.

Solution:

Given, the system of equations in two variables are

2r + 2s = 50 --- (1)

2r - s = 17 --- (2)

From (2), 2r = 17 + s

Substitute the value of 2r in (1),

17 + s + 2s = 50

17 + 3s = 50

3s = 50 - 17

3s = 33

s = 33/3

s = 11

Put s = 11 in (2)

2r - 11 = 17

2r = 17 + 11

2r = 28

r = 28/2

r = 14

Therefore, the solution is r = 14 and s = 11.

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Solve the system of equations 2r + 2s = 50 and 2r - s = 17.

Summary:

The solution to the system of equations 2r + 2s = 50 and 2r - s = 17 is (14, 11).