Solve for the variable. Determine if there is one solution, infinitely many solutions, or no solution.-22U + 19 = 5(-4U + 4)

Question

Solve for the variable. Determine if there is one solution, infinitely many solutions, or no solution.

$-22U + 19 = 5(-4U + 4)$

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Solution

Step 1: Distribute the 5 on the right side of the equation to both terms inside the parentheses. This gives us:

-22U + 19 = -20U + 20

Step 2: Rearrange the equation to get all terms with U on one side and the constants on the other. Add 22U to both sides and subtract 20 from both sides to get:

-22U + 22U + 19 - 20 = -20U + 22U + 20 - 20

This simplifies to:

2U = -1

Step 3: Solve for U by dividing both sides by 2:

U = -1/2

So, the solution to the equation is U = -1/2. There is one solution.

This problem has been solved

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