Question

Use the drop-down menus below to make the equation true.
41 - 2a = 6b + 5a
a =
b =

Answer 1

To make the equation 41 - 2a = 6b + 5a true, we need to find the values of a and b that satisfy the equation. We can use algebraic manipulation to rearrange the equation and solve for one variable in terms of the other.

Step-by-step explanation:

To make the equation 41 - 2a = 6b + 5a true, we need to find the values of a and b that satisfy the equation. To do this, we can use algebraic manipulation.

1. First, let's combine like terms on both sides of the equation:
   46 - 2a = 6b + 5a
2. Next, let's isolate the variable terms on one side and the constant terms on the other side:
   46 = 7a + 6b
3. Now, we can rearrange the equation to solve for one variable in terms of the other:
   6b = 46 - 7a
4. Finally, we can simplify the equation to express b in terms of a:
   b = &frac{46 - 7a}{6}

Therefore, the equation is true when a = &frac{46 - 7a}{6} and b = &frac{46 - 7a}{6}.