text((a) ) (4 L)/(5) = 3
L = Incorrect: Your answer is incorrect.
text((b) ) 3 = (4 M)/4 + 11
To solve equation (a), you are given the expression (4 L)/(5) = 3. The goal is to find the value of L.
To isolate L, you can use algebraic operations to get L by itself on one side of the equation. Here's how you can do it step by step:
1. Multiply both sides of the equation by 5 to eliminate the fraction in the equation:
5 * (4 L)/(5) = 3 * 5
This simplifies to:
4 L = 15
2. To get L by itself, divide both sides of the equation by 4:
(4 L)/4 = 15/4
This simplifies to:
L = 15/4
Therefore, the value of L is 15/4.
Now, moving on to equation (b), you have the expression 3 = (4 M)/4 + 11. The goal is to find the value of M.
To isolate M, you can use similar algebraic operations to get M by itself on one side of the equation. Here are the steps to solve it:
1. First, subtract 11 from both sides of the equation to isolate the fraction:
3 - 11 = (4 M)/4
This simplifies to:
-8 = (4 M)/4
2. Next, multiply both sides of the equation by 4 to eliminate the fraction:
4 * (-8) = 4 * (4 M)/4
This simplifies to:
-32 = 4 M
3. To get M by itself, divide both sides of the equation by 4:
(-32)/4 = (4 M)/4
This simplifies to:
-8 = M
Therefore, the value of M is -8.
In summary, the solution to equation (a) is L = 15/4, and the solution to equation (b) is M = -8.