What should the first step be to solve these equations please explain your answer for each question! I’ll give

Cross Multiply

Step-by-step explanation:

Cross multiplication can help answer these questions.

a. 3x-4/8=x+2/3

step 1- multiply 8 and (x+2), and 3 and (3x-4)

8x+16=9x+12

step 2- Subtract 8x on both sides

16=x+12

step 3- subtract 12 on both sides

4=x, or x=4

b. 3(2-r)/4=3+r/6

step 1- open parentheses

3(2-r)=6-3r

6-3r/4=3+r/6

step 2- cross multiply (put them into a equation without fractions by cross multiplying)

(6-3r) · 6= (3+r) ·4

step 3- multiply

36-18r=12+4r

step 4- solve

add 18r on both sides

36=12+22r

subtract 12 from both sides

24=22r

divide by 22 on both sides

24/22 or 12/11=r

r=12/11

c. 4p+3/8=p+2/4

step 1- cross multiply

(4p+3) · 4= (p+2)·8

step 2- open the parentheses

16p+12=8p+16

step 3- solve

subtract 12 on both sides

16p=8p+4

subtract 8p on both sides

8p=4

divide by  8 on both sides

p=4/8, or p=1/2

d. 2(a-7)/15=a+4/6

step 1- open parentheses

2(a-7) = 2a-14

2a-14/15=a+4/6

step 2- cross multiply

(2a-14) · 6 = (a+4) · 15

step 3- open parentheses

12a-84=15a+60

step 4- solve

subtract 60 on both sides

12a-144=15a

(the answer is -144 because a negative minus a negative such as -80-60=-144.

subtract 12a on both sides

-144=3a

divide by 3 on both sides

-48=a, or a=-48

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.