Construct 3 equations with $x = - 2$.
Answer
653.1k+ views
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.
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.
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