Question

7
directions: type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).
complete the equation below to create an equation with infinitely many solutions.
7x - 8 = 8 + \square x - \square + 3x
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submit

Explanation:

Step1: Combine like terms on the right

The right side has \( \square x + 3x \) (for the \( x \)-terms) and constants \( 8 - \square \). Combine \( x \)-terms: \( (\square + 3)x \), constants: \( 8 - \square \).

Step2: Set coefficients equal for infinite solutions

For infinite solutions, left and right sides must be identical. Left: \( 7x - 8 \). So:

• \( x \)-term: \( \square + 3 = 7 \) → \( \square = 7 - 3 = 4 \)
• Constant term: \( 8 - \square = -8 \) → \( \square = 8 + 8 = 16 \)

Answer:

First box: 4, Second box: 16