Question

Solve the following equations by trial and error method:
(i) $5p+2=17$
(ii) $3m-14=4$

Answer 1

In this method, we assume the value of variable and check whether it satisfies the equation or not.

(i) For, $5p+2=17$

Let $x=0$

LHS: $5\left(0\right)+2=2\ne 17\ne$ RHS

Hence,$x\ne 0$

Let $x=1$

LHS: $5\left(1\right)+2=5+2=7\ne 17\ne$ RHS

Hence, $x\ne 1$

Let $x=3$

LHS: $5\left(3\right)+2=15+2=17=$ RHS

Hence, $x=3$ is the solution of the equation $5p+2=17$.

(ii) For,$3m-14=4$

Let $m=0$

LHS: $3\left(0\right)-14=-14\ne 4\ne$ RHS

Hence, $m\ne 0$

Let $m=1$

LHS: $3\left(1\right)-14=3-14=-11\ne 4\ne$ RHS

Hence, $m\ne 1$

Let $m=3$

LHS: $3\left(3\right)-14=9-14=-5\ne 4\ne$ RHS

Hence, $m\ne 3$

Let $m=6$

LHS: $3\left(6\right)-14=18-14=4=$ RHS

Hence, $m=6$ is the solution of the equation $3m-14=4$.