Question
Solve the following equation and verify the answer:
$\frac{\text{3x}}{10}-4=14$
$\frac{\text{3x}}{10}-4=14$
✓
Answer
$\frac{\text{3x}}{10}-4=14$ $\Rightarrow\frac{\text{3x}}{10}=14+4$(Transposing -4 to R.H.S.)
$\Rightarrow\frac{\text{3x}}{10}=18$ $\Rightarrow\frac{\text{3x}}{10}\times=18\times10$(Multiplying both sides by 10)
$\Rightarrow3x=180\Rightarrow\frac{\text{3x}}{3}=\frac{180}{3}$(Dividing both sides by 3)
$\Rightarrow \text{x}=60$ So, $\text{x}=60$ is a solution of the given equation. Check: Substituting $\text{x}=60$ in the given equation, we get $\text{L.H.S.}=\frac{3\times60}{10}-4=(3\times6)-4$ = 18 - 4 = 14and R.H.S. = 14
$\therefore$ When x = 60, we have L.H.S. = R.H.S.
$\Rightarrow\frac{\text{3x}}{10}=18$ $\Rightarrow\frac{\text{3x}}{10}\times=18\times10$(Multiplying both sides by 10)
$\Rightarrow3x=180\Rightarrow\frac{\text{3x}}{3}=\frac{180}{3}$(Dividing both sides by 3)
$\Rightarrow \text{x}=60$ So, $\text{x}=60$ is a solution of the given equation. Check: Substituting $\text{x}=60$ in the given equation, we get $\text{L.H.S.}=\frac{3\times60}{10}-4=(3\times6)-4$ = 18 - 4 = 14and R.H.S. = 14
$\therefore$ When x = 60, we have L.H.S. = R.H.S.
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
Use the proper geometrical instruments to construct the following angles. Use the compass and the ruler to bisect them:
(1) 50°
(2) 115°
(3) 80°
(4) 90°
(1) 50°
(2) 115°
(3) 80°
(4) 90°
Observe the figures given below and say which of them are quadrilaterals.
Show that each of the following is meaningless. Give reason in each case.
- VC
- IL
- VVII
- IXX
Solve the following equation and verify the answer:
$\text{2x}-\frac{1}{2}=3$
→$\text{2x}-\frac{1}{2}=3$
The length and the breadth of a rectangular field are in the ratio 7 : 4. The cost of fencing the field at Rs. 25 per metre is Rs. 3300. Find the dimensions of the field.
Express each of the following as a Roman numeral:
|
S.No.
|
Numerical
|
|
i
|
164
|
|
ii
|
195
|
|
iii
|
226
|
|
iv
|
341
|
|
v
|
475
|
|
vi
|
596
|
|
vii
|
611
|
|
viii
|
759
|
Arrange the following fractions in descending order:$\frac{7}{9},\frac{5}{12},\frac{11}{18}\ \text{and}\ \frac{17}{36}$
→From a wholesaler, Santosh bought 400 eggs for Rs 1500 and spent Rs 300 on transport. 50 eggs fell down and broke. He sold the rest at Rs 5 each. Did he make a profit or a loss? How much?
Arrange the following fractions in ascending order:$\frac{3}{4},\frac{7}{8},\frac{11}{16}\ \text{and}\ \frac{23}{32}$
→Convert the common fractions into decimal fractions:
→i. $\frac{3}{4}$
ii. $\frac{4}{5}$
iii. $\frac{9}{8}$
iv. $\frac{17}{20}$