Solving Two-Step Equations with Fractional Coefficients

What is the value of x in the equation: 3/4x + 2 = 5

• 3

• 4

• 1/2

• 2

Answer explanation

To find the value of x, subtract 2 from both sides of the equation. Then, multiply both sides by 4/3. The correct choice is 2 because it satisfies the equation.

What is the solution to the equation: 3/8x + 1/2 = 7

• x = 5

• x = 10

• x = 52/3

• x = 15

Answer explanation

To solve the equation, we need to isolate x. Subtract 1/2 from both sides, then multiply both sides by 8/3. The correct choice is x = 13.

Solve the equation: 1/2x + 3 = 7

• x = 8

• x = 6

• x = 10

• x = 5

Answer explanation

To solve the equation, we need to isolate x. Subtract 3 from both sides to get 1/2x = 4. Multiply both sides by 2 to get x = 8. Therefore, the correct choice is x = 8.

Find the solution to the equation: 2/3y - 5 = 1

• y = 7

• y = 9

• y = 15

• y = 10

Answer explanation

To solve the equation, first add 5 to both sides. Then, multiply both sides by 3/2. The correct choice is y = 12.

• A

• B

• C

• D

• A

• B

• C

• D

• E

• A

• B

• C

• D

• E

Clear the equation to solve.

• 1

• 2

• 4.67

• 12

Determine the solution to the equation: 1/5a - 4 = 2

• a = 30

• a = 20

• a = 15

• a = 10

Answer explanation

To solve the equation, we need to isolate the variable 'a'. First, add 4 to both sides of the equation. Then, multiply both sides by 5 to get rid of the fraction. The correct choice is a = 30.

Solve for x: 2/3x + 1/4 = 5

• x = 3/2

• x = 7/4

• x = 2/5

• x = 57/8

Answer explanation

To solve the equation, we need to isolate x. Multiply both sides by 12 to eliminate the fractions. Simplifying gives 8x + 3 = 60. Subtracting 3 from both sides gives 8x = 57. Dividing both sides by 8 gives x = 57/8, which simplifies to x = 11/6. Therefore, the correct answer is x = 11/6.