Let us solve the following simultaneous equations in two variables by the method of comparison:

2x + 4y = 11

Question

Let us solve the following simultaneous equations in two variables by the method of comparison:2x + 4y = 11

Philoid · Accepted Answer

expressing the equations in terms of one variable

⇒ 4x + 3y = 12

………[1]

2x + 4y = 11

⇒ 2x = 11 – 4y

………[2]

by comparing eq. [1] and eq. [2]

⇒ 24 – 6y = 44 – 16y

⇒ 10y = 20

⇒ y = 2 ………[3]

by using [3] in [1]