Question

Solve these three please, if you're confused, read the instructions.

Answer 1

Explanation:

hello,

to work out the equation, you need to have the x value on one side only.

for e.g, let's take the first question itself.

1. 2000 ( x - 0.03 ) = 6000

( x - 0.03) = 6000/ 2000

(÷ by 2000 both sides to eliminate 2000 on l.h.s.)

( x - 0.03) = 3

x - 0.03 = 3

(add 0.03 on both sides to eliminate 0.03 on l.h.s)

x = 3 + 0.03

x = 3.03

2. 2( x + 1.25 ) = 3.5

here you have to work out the brackets first. hence,

2x + 2.5 = 3.5

( subract 2.5 from both sides.)

2x = 3.5 - 2.5

2x = 1

(divide both sides by 2 to have x on the l.h.s only)

x = 1/2

3. ¼ (4 + x ) = 4/3

(work the brackets first.)

1 + ¼ x = 4/3

( subract 1 from both sides)

¼ x = 4/3 - 1

¼ x = ⅓

( cross multiply or divide both sides by ¼)

3x = 4 ( by cross multiplication )

x = 4/3

now that you know the answers, try to understand them and do practice them on your own, then check the answers. do let me know if there's anything you haven't understood, or any questions you have.

wishing you a beautiful day !

Answer 2

x = 3.03

x = 1/2

x = 4/3

Explanation:

1. Considering we have a number within and out of a parenthesis, we can first use the distributive property. Multiply the number outside of the parenthesis by both numbers inside the parenthesis.

(2,000 * x - 2,000 * 0.03) = 6,000

2,000x - 60 = 6,000

Now we need to isolate x, first add 60 to both sides:

2,000x - 60 = 6,000

2,000x = 6,060

Now divide both sides by 2,000 to get x alone and have our answer:

2,000x = 6,060

x = 3.03

2. Just like the first question, we have a number outside of the parenthesis and two numbers inside the parenthesis, so use the distributive property:

(2 * x + 2 * 1.25) = 3.5

2x + 2.5 = 3.5

Isolate x, get rid of 2.5 by subtracting it to both sides:

2x + 2.5 = 3.5

2x = 1

Now divide both sides by 2:

2x = 1

x = 1/2

3. Same as the last two, start with the distributive property:

1/4 * 4 + 1/4 * x = 4/3

1 + 1/4x = 4/3

Isolate x, subtract 1 by both sides:

1 + 1/4x = 4/3

1/4x = 1/3

Divide 1/4 by both sides:

x = 4/3