Let us solve the following simultaneous equations in two variables by the method of substitution.
Given 
… (1)
And 
… (2)
Expressing x of equation (1) in terms of y,
… (3)
Substituting (3) in (2),
⇒ 4 (2y – 3) = 7 (7y – 31)
⇒ 8y – 12 = 49y - 217
⇒ 217 – 12 = 49y – 8y
⇒ 205 = 41y
∴ y = 5
Substituting y value in (3),
∴ x = 8
∴ By solving, we get x = 8 and y = 5.
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