Question 7 on the MAT0020/24C Beginning Algebra State Exam

Solve a Linear Equation with Fraction Coefficient(s)

Solution:

Solve for y: 

One way to solve this problem is to eliminate the fractions by multiply the entire equation by the least common denominator of the fractions.  In this case the least common denominator is 12.

The next step is to solve for y.

The solution is: 

Note:  You can check your solution by substituting it back into your equation.

Practice Problems for Question 7

Solve a Linear Equation with Fraction Coefficients

Solutions Below

1.  Solve for x: 

a.                     b.                     c.                  d. 

2.  Solve for t: 

a.                   b.                   c.                   d. 

3.  Solve for r: 

a.                     b.                    c.                      d. 

4.  Solve for r: 

a.                 b.                    c.                        d. 

Solutions:

1.  b                 2.  b                 3.   c                4.  b