Answer
x= 1 , y = -1
Step by step
x -y = 2 ------------- (eqn 1)
9x + 4y = 5 --------(eqn 2)
Solve simultaneously using elimination method by multiplying eqn 2 by 4 to eliminate y.
x - y = 2 -----------(eqn 1) × 4
4x - 4y = 8 ---------- (new eqn 1)
9x + 4y = 5 ----------(eqn 2)
Add eqn 2 and new eqn 1 to eliminate y
4x + 9x - 4y + 4y = 8 + 5
13x = 13
Divide both sides by 13
13x/13 = 13/13
x = 1
Put x = 1 into eqn 1
x - y = 2
1 - y = 2
Subtract 1 from both sides
1 - 1 - y = 2 - 1
-y = 1
Divide both sides by -1
-y/-1 = 1/-1
y = -1
Therefore,
x = 1, y = -1
Checking
x - y = 2
1 - (-1) = 2
1 + 1 = 2
2 = 2
9x + 4y = 5
9(1) + 4(-1) = 5
9 - 4 = 5
5 = 5
Therefore x = 1, y = -1
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