Question

3. Solve the following equations:
(a) 4= 5(p - 2)
(b) - 4 = 5(p - 2)
(c) 16 = 4 + 3(t + 2)

(d) 4+ 5(p-1) =34
(e) 0 = 16 + 4(m - 6)​

Answer 1

(A) 8 is the answer

Step-by-step explanation:

4=5p-10

4+10=5p

40=5p

40/5=p

8=p

(B) -4=5(p-2)

-4=5p - 10

-4+10=5p

6=5p

6/5=p

(C) 16=4+3(t+2)

16=7(t+2)

16=7t+14

16-14=7t

2=7t

2/7=t

(D) 4+5(p-1)=34

9(p-1)=34

9p-9=34

9p=34+9

9p=43

p=43/9

(E) 0=16+4(m-6)

0=20(m-6)

0=20m -120

0+120=20m

120=20m

120/20=m

6=m

Answer 2

Answer:

(a) 4 = 5(p-2)

4 = 5p-10

4+10 = 5p

14 = 5p

14/5 = p

(b) -4= 5 (p-2)

-4 = 5p -10

-4+10 = 5p

6 = 5p

6/5 = p

(c) 16 = 4+3 (t+2)

16 = 4+ 3t +6

16 = 10 +3t

16-10 = 3t

6 = 3t

6/3 = t

t = 2

(d) 4+ 5(p-1) = 34

4+ 5p -5 = 34

5p -1 = 34

5p = 35

p = 35/5

p = 7

(e) 0 = 16 +4 (m-6 )

16 = 4(m-6 )

16 = 4m - 24

16+24 = 4m

40 = 4m

40/4 = m

10 = m