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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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.
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).
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