Question

Solve the following 4x-1/2 = x + 7 and 3x + 2 = 2x+13/3

Answer 1

1) 4x-1/2 = x + 7

Answer : x=5/2

2) 3x + 2 = 2x+13/3

Answer: x=7/3

Explanation:

1) 4x-1/2 = x + 7

Solution

Let's solve your equation step-by-step.

4x−1/2=x+7

Step 1: Simplify both sides of the equation.

4x+−1/2=x+7

Step 2: Subtract x from both sides.

4x+−1/2−x=x+7−x

3x+−1/2=7

Step 3: Add 1/2 to both sides.

3x+−1/2+1/2=7+1/2

3x=15/2

Step 4: Divide both sides by 3.

3x/3=15/2/3

x=5/2

2) 3x + 2 = 2x+13/3

Solution

Let's solve your equation step-by-step.

3x+2=2x+13/3

Step 1: Subtract 2x from both sides.

3x+2−2x=2x+13/3−2x

x+2=13/3

Step 2: Subtract 2 from both sides.

x+2−2=13/3−2

x=7/3

Answer 2

a. 2.5

b. 2.333

c. 2.85

Explanation:

A) 1. subtract -x on both sides 2. to get 3x-1/2=7

3. Add 1/2 on both sides 4. to get 3x=7.5

5. divide 3 on both sides 6. To get... x=2.5

B)1. Same process. 2. x+2=13/3

3. x=13/3-2 4. x= 2.33(repeating)

C) 1. same process. 2. 2x-x/3=3+7/4

3. 2x-x/3=4.75 4. Isolate -x/3

5.-x/3=4.75-2x 6. multiply both sides by 3

7. -x=14.25-6x 8. 5x=14.25

9. x= 2.85

* remember to distribute the 3 to each variable.