Let us solve the following linear simultaneous equations in two variables by the method of elimination:
x + y = 48

Question

Let us solve the following linear simultaneous equations in two variables by the method of elimination:x + y = 48

Philoid · Accepted Answer

Rewriting the above equations in the standard form of ax + by = c.

x + y = 48 (i)

x – 2.5 y = 6 (ii)

In this problem, we will eliminate ‘x’ from both the equations, simply subtracting

⇒ y = 12

Putting the value of y in equation(i)

we have, x = (48 - y) or x = 36.

Hence the solution of the linear equation is x = 36 and y = 12.