# solve for the indicated variable. show all the steps.a) -4y=-52b)x -2/3=3/4c)4 (2x+3)=5-(x-2)d)m=8-0.4n; for n

Question

solve for the indicated variable. show all the steps.

a) -4y=-52

b)x -2/3=3/4

c)4 (2x+3)=5-(x-2)

d)m=8-0.4n; for n

Step 1

a) To solve the equation −4y = −52 for y.

Since the equation process used multiplication, use the opposite process rule and solve for the variable y with division.

To remove −4 in front of y, divide by −4 on both sides of the equation.

Step 2

b) To solve the equation x – 2/3 = 3/4 for x.

Since the equation process used subtraction, use the opposite process rule and solve for the variable x with addition.

To isolate x the left, add 2/3 to both sides of the equation.

Step 3

c) To solve the equation 4(2x + 3) = 5 – (x – 2) for x.

First...

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