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

Question

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

Philoid · Accepted Answer

expressing the equations in terms of one variable

x + y = 11

………[1]

⇒ 8y + 16 = 10y + x

………[2]

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

⇒ 16 – 2y = 11 – y

⇒ y = 5 ………[3]

by using [3] in [1]

⇒ x = 11 – y

⇒ x = 11 - 5

⇒ x = 6