Question

Solve the following equations
(1) 7m+19/2=13
(2) q/4+7=5
(3)4(2-x)=8
(4) -4=5(p-2)
(5)16=4+3(t+2)​

Answer 1

Answer:

1. 7m+19/2=13

14m+19/2=13

14m+19=26

14m=26-19

14m=7

m=7/14

m=1/2

2. q/4 + 7 = 5

(q +28 )/4 = 5 {taking LCM}

q+ 28 = 20

q = 20- 28

q = -8

3. 4(2-x)=8

8-4x=8

-4x=8-8

-4x=0

4.

$- 4 = 5(p - 2) \\ \frac{ - 4}{5} = p - 2 \\ p - 2 = \frac{ - 4}{5} \\ p = \frac{ - 4}{5} + 2 \\ p = \frac{ - 4 + 2 \times 5}{5} \\ p = \frac{ - 4 + 10}{5} \\ p = \frac{10 - 4}{5} \\ p = \frac{6}{5}$

5.

$16 = 4 + 3(t + 2) \\ 16 = 4 + 3t + 6 \\ 16 = 10 + 3t \\ 16 - 10 = 3t \\ 6 = 3t \\ \frac{6}{3} = t \\ 2 = > t$

Step-by-step explanation:

Hope it helps :)-