Question

Solve the following equations and check the solutions.
1 - 4x = -11
​

Answer 1

Answer:

x=3

Explanation:

1-4x=-11

-4x= -11-1

-4x=-12

-12

x= --------

-4

x=3

Answer 2

Required Answer:

${\bf {\underline {\star \: Given:-}}}$

The equation:- 1 - 4x = -11

${\bf {\underline {\star \: What \: To \: Do:-}}}$

We have to solve and find the value of x and then check it.

${\bf {\underline {\star \: Solution:-}}}$

$\rm 1 - 4x = -11$

Take -11 to LHS,

$\Rightarrow \rm 1 - 4x + 11$

Take -4x to RHS,

$\Rightarrow \rm 1 + 11 = 4x$

Add 1 and 11,

$\Rightarrow \rm 12 = 4x$

Take 4 to LHS,

$\Rightarrow \rm \dfrac{12}{4} = x$

Divide 12 by 4,

$\Rightarrow \rm 3 = x$

∴ Hence, the value of x is 3.

${\bf {\underline {\star \: Verification (Check):-}}}$

$\rm 1 - 4x = -11$

Substitute the value of x,

$\Rightarrow \rm 1 - 4 \times 3 = -11$

Multiply 4 by 3,

$\Rightarrow \rm 1 - 12 = -11$

Subtract 12 from 1,

$\Rightarrow \rm -11 = -11$

∴ Since LHS = RHS, hence checked.