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

Question

Let us solve the following linear simultaneous equations in two variables by the method of elimination: x + y = a + b ax + by = a 2 - b 2

Philoid · Accepted Answer

In this problem, we will eliminate ‘y’ from both the equations by subtracting the equation 2nd from 1st.

x + y = a + b (i)

(ii)

Multiplying equation 1st by ‘b’ to make the coefficient of y equal in both equation. So we get,

⇒

Putting the value of x in equation (i) we get, value of y as

⇒

Hence the solution of the linear equation is and .