Question
Solve the following equations :
$5 t-3=3 t-5$
$5 t-3=3 t-5$
✓
Answer
We have,
$5 t-3=3 t-5$
$\Rightarrow \quad 5 t-3 t=-5+3\quad$ [transposing 3t to LHS and -3 to RHS]
$\Rightarrow \quad 2 t=-2$
$\Rightarrow \quad t=\frac{-2}{2} \quad$ [dividing both sides by 2]
$\therefore t=-1$, which is the required solution.
Check For $t=-1$
LHS $=5(-1)-3=-5-3=-8$
RHS $=3(-1)-5=-3-5=-8$
$\therefore \quad LHS = RHS \quad$ [as required]
$5 t-3=3 t-5$
$\Rightarrow \quad 5 t-3 t=-5+3\quad$ [transposing 3t to LHS and -3 to RHS]
$\Rightarrow \quad 2 t=-2$
$\Rightarrow \quad t=\frac{-2}{2} \quad$ [dividing both sides by 2]
$\therefore t=-1$, which is the required solution.
Check For $t=-1$
LHS $=5(-1)-3=-5-3=-8$
RHS $=3(-1)-5=-3-5=-8$
$\therefore \quad LHS = RHS \quad$ [as required]
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
A recipe for a particular type of muffins requires $1$ cup of milk and $1.5$ cups of chocolates. Riya has $7.5$ cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?
→Simplify:
$ (4.5 a+1.5 b)^2+(4.5 b+1.5 a)^2$
→$ (4.5 a+1.5 b)^2+(4.5 b+1.5 a)^2$
In a simultaneous throw of a pair of dice, find the probability of getting:an even number on one and a multiple of $3$ on the other.
→Evaluate:$\Big(\frac{4}{7}\Big)^3$
→Factorise the following using the identity $a^2- b^2= (a + b)(a - b).$
$8a^3- 2a$
→$8a^3- 2a$
Represent the following numbers on the number line. $\frac{1}{3}$
→Factorise the expressions: $10ab + 4a + 5b + 2$
→What will be the digital root of the number 9a + 36b + 13?
Find the greatest number of three digits that is a perfect square.
Which of the following triplets are pythagorean$? (14, 35, 38)$
→