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Question
Solve, using the method of substitution
2x – 3y = 7, 5x + y = 9
Solution
2x – 3y = 7 → (1)
5x + y = 9 → (2)
Equation (2) becomes
y = 9 – 5x
Substitute the value of y in (1)
2x – 3(9 – 5x) = 7
2x – 27 + 15x = 7
17x = 7 + 27
17x = 34
x = `34/17`
= 2
Substitute the value of x = 2 (in) (2)
y = 9 – 5(2) = 9 – 10 = – 1
∴ The value of x = 2 and y = – 1
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