Question

4z-3/2z+1=5/7 solve the equations and verify plz give answer

Answer 1

Answer:

z = - 4/35

Step-by-step explanation:

4z -3/2 z + 1 = 5/7

5/2 z + 1 = 5/7

5/2 z = -2/7

z = -2/7 ÷ 5/2

z = - 4/35

Answer: z = - 4/35

To verify the answer:

4z -3/2 z + 1 = 5/7

Sub z = - 4/35

4(- 4/35) - 3/2 (- 4/35) + 1

= -16/35 + 6/35 + 1

= 5/7 (checked)

Answer 2

Answer:

z=$\frac{13}{9}$

Step-by-step explanation:

The given equation is $\frac{4z-3}{2z+1} = \frac{5}{7}$   ...(i)

Cross multiplying gives

(4z-3)*(7) = (5)*(2z+1)

28z - 21 = 10z + 5

subtracting 10 z from both sides and adding 21 to both sides

28z - 10z -21 + 21 = 10z -10z +5 + 21

18 z = 26

Dividing both sides by 18

$\frac{18z}{18} = \frac{26}{18}$

z=$\frac{13}{9}$

Verification:

put value of z in L.H.S of eq (i)

L.H.S = $\frac{4(\frac{13}{9})-3}{2(\frac{13}{9})+1}$

Solving gives

L.H.S= $\frac{5}{7}$ = R.H.S