Question
Solve the following equation and verify the answer: $4x + 7 = 15$
✓
Answer
$4x + 7 = 15 $
$\Rightarrow 4x + 7 - 7 = 15 - 7$ [Subtracting $7$ from both the sides]
$\Rightarrow 4x = 8$
$\Rightarrow\frac{\text{4x}}{4}=\frac{8}{4}$ [Dividing both the sides by $4]$
$\Rightarrow x = 2$
Verification: Substituting $x = 2$ in the $L.H.S. $
$\Rightarrow 4 \times 2 + 7 = 8 + 7 = 15 = R.H.S.$
$ L.H.S. = R.H.S.$
Hence, verified.
$\Rightarrow 4x + 7 - 7 = 15 - 7$ [Subtracting $7$ from both the sides]
$\Rightarrow 4x = 8$
$\Rightarrow\frac{\text{4x}}{4}=\frac{8}{4}$ [Dividing both the sides by $4]$
$\Rightarrow x = 2$
Verification: Substituting $x = 2$ in the $L.H.S. $
$\Rightarrow 4 \times 2 + 7 = 8 + 7 = 15 = R.H.S.$
$ L.H.S. = R.H.S.$
Hence, verified.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Raju purchases $10$ pens for $₹150$ and Manish buys $7$ pens $₹ 84$. Can you say who got the pens cheaper?
→Write the fraction appropriately as addition or subtraction:
Reduce the following fractions to its lowest term (simplest form): $\frac{42}{28}$
→Draw a parallelogram $ABCD$ in which $AB = 6.5\ cm, AD = 4.8\ cm$ and $\angle\text{BAD}=70^{\circ.}$ Measure its diagonals.
→Solve: $\frac{4}{3}-\frac{1}{2}$
→Explain why do you get the same number sequence in question 1 and question 2 ?
In each of the following numbers, replace * by the smallest number to make it divisible by 11:
(i) $86 * 72$ (ii) $467 * 91$ (iii) $9 * 8071$
→(i) $86 * 72$ (ii) $467 * 91$ (iii) $9 * 8071$
Simplify: $-x + [5y - {x - (5y - 2x)}]$
→Find the least number that is divisible by all the numbers between $1$ and $10$ (both inclusive).
→A rectangular courtyard is $20m$ $16\ cm$ long and $15m$ $60\ cm$ broad. It is to be paved with square stones of the same size. Find the least possible number of such stones.
→