Question

solve the following equation without transposing
1. 3x + 10 = 5x + 2
2. 5y +10 = 4y - 10​
explain step by step

Answer 1

Solution:

1.3x+10=5x+2

=> 3x +10 -2 = 5x +2 - 2

=> 3x + 8 = 5x

Subtract 3x both sides of the equation, we get

=> -3x+3x+8 = 5x-3x

=> 8 = 2x

divide each term by 2 , we get

=> 4 = x

Therefore,

x = 4

____________________

2 . 5y +10 = 4y -10

subtract 10 both sides of the equation, we get

=> 5y+10-10 = 4y -10-10

=> 5y = 4y -20

Subtract 4y both sides of the equation, we get

=> 5y - 4y = 4y -20 - 4y

=> y = -20

Therefore,

y = -20

••••

Answer 2

Step-by-step explanation:

$\huge\sf{ \: question : 3x + 10 = 5x + 2}$

solution..

$\sf3 x + 10 - 2 = 5x + \: - 2$

$\sf \: 3x + 6 = 5x - 3$

$\sf\cancel 3x + 6 = \frac{3}{3} x = 5x - 3x$

$\sf\cancel{{\frac{36}{2} }} = \cancel\frac{2x}{2} \\ \\ \sf \: x = 3$