Question

solve the following equations and check your results: Q1. x= 4/5 (x+10) Q2. 5t - 3= 3t-5 Q3. 5x+9=5+3x Q4. 4z+3=6+2z Q5. 2x-1 =14 - x Q6. 8x+4=3 (x-1) +7

Answer 1

1. 4\5x+8
2.5t-3=3t-5
5t -3t = -5+3
2t=-2
t=-2\2

Answer 2

Answer:

1) x=40

2) t= -1

3) x= -2

4) z= 3/2

5) x= 5

6) x= 0

Explanation:

The equation is linear equation in one variable.

To solve the equation, just put the terms with z on left hand side of the equation and constant terms on the right hand side of the equation.

Q1. x= 4/5 (x+10)

$Ans)x = \frac{4}{5} (x + 10) \\ \\ 5x = 4x + 40 \\ \\ 5x - 4x = 40 \\ \\ x = 40$

Q2. 5t - 3= 3t-5

$Ans)5t - 3 = 3t - 5 \\ \\ 5t - 3t = - 5 + 3 \\ \\ 2t = - 2 \\ \\ t = \frac{ - 2}{2} \\ \\ t = - 1$

Q3. 5x+9=5+3x

$Ans) 5x + 9 = 5 + 3x \\ \\ 5x - 3x = 5 - 9 \\ \\ 2x = - 4 \\ \\ x = \frac{ - 4}{2} \\ \\ x = - 2$

Q4. 4z+3=6+2z

$Ans) 4z + 3 = 6 + 2z \\ \\ 4z - 2z = 6 - 3 \\ \\ 2z = 3 \\ \\ z = \frac{3}{2}$

Q5. 2x-1 =14 - x

$Ans) 2x-1 =14 - x \\ \\ 2x + x = 14 + 1 \\ \\ 3x = 15 \\ \\ x = \frac{15}{3} \\ \\ x = 5$

Q6. 8x+4=3 (x-1) +7

$Ans) 8x+4=3 (x-1) +7 \\ \\ 8x + 4 = 3x - 3 + 7 \\ \\ 8x - 3x = 4 - 4 \\ \\ 5x = 0 \\ \\ x = \frac{0}{5} \\ \\ x = 0$

Hope it helps you.