Question

Match each equation to its solutions:

1/4r +5/3r-4=2-1/12r - To solve for r.
3.2b-4.7=3b-3.3 - To solve for b.
4.6y-y+4=y-1.2 - To solve for y.
7.5c-2.5c+8=-7 - To solve for c.

Answer 1

The student's question involves solving a set of linear equations for different variables. By using algebraic operations and combining like terms, solutions for the variables r, b, y, and c can be found.

Step-by-step explanation:

The student is asking for solutions to a set of linear equations. Each equation must be solved for a specific variable: r, b, y, and c. Let's match each equation to its solution.

1. For the equation 1/4r + 5/3r - 4 = 2 - 1/12r, we need to solve for r. Combine like terms by finding a common denominator for the fractions, then isolate r on one side of the equation to find the solution.
2. To solve the equation 3.2b - 4.7 = 3b - 3.3 for b, subtract 3b from both sides and then add 3.3 to both sides to isolate b.
3. The equation 4.6y - y + 4 = y - 1.2 can be simplified to solve for y. Combine like terms by subtracting y from both sides and then add 1.2 to both sides to find y.
4. For the equation 7.5c - 2.5c + 8 = -7, you'll first subtract the c-terms and then move the constant to the other side to solve for c.

By performing standard algebraic operations, we can obtain the solutions for each variable in their respective equations.