Math Expressions Worksheet With Answers - Grade 7 And 8 - University Of Waterloo - 2013 Page 9

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Substitute x = 9 into (1) and solve for y.
(9) + y = 20
9 + y
9
= 20
9
y = 11
So we found x = 9 and y = 11. Substitute these values into equations (1) and (2) to make
sure they are both satisfied.
2x
y = 2(9)
11
(2)
x + y = 9 + 11
(1)
= 18
11
= 20
= 7
Therefore x = 9 and y = 11 are the solutions to the system.
Exercises V
Solve the systems. Show all of your steps.
(a) x
2y = 6
(b) 2x + 3y = 17
3x + y = 25
x
y =
4
9

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