Question

Construct 3 equations with $x = - 2$.

Answer 1

Hint: In this question first we have to do multiplication or divide on equation $x = - 2$ . And then addition or subtraction on obtained equations to get required equations.

Complete step-by-step answer:
Three equations starting with $x = - 2$.
(i)$x = - 2$
Multiplying both sides by 10,
$ \Rightarrow 10x = - 20$
Now, add “2” on both sides,
We get
$ \Rightarrow 10x + 2 = - 18$
Hence, equation with $x = - 2$ is $10x + 2 = - 18$

(ii)$x = - 2$
Multiplying both sides by 5,
$ \Rightarrow 5x = - 10$
Now, subtract “3” on both sides,
We get
$
   \Rightarrow 5x - 3 = - 10 - 3 \\
   \Rightarrow 5x - 3 = - 13 \\
$
Hence, equation with $x = - 2$ is $5x - 3 = - 13$

(ii)$x = - 2$
Multiply both sides by 2,
$ \Rightarrow 2x = - 4$
Now, add “3” on both sides
We get
$
   \Rightarrow 2x + 3 = - 4 + 3 \\
   \Rightarrow 2x + 3 = - 1 \\
 $
Hence, equation with $x = - 2$ is $2x + 3 = - 1$

Note: Whenever you get this type of question the key concept to solve this is to use addition or subtraction or multiplication or divide to get the equations with given conditions.