How many solutions does this equation have? –8 + 7u = 7u Choices: (A)no solution (B)one solution (C)infinitely many solutions

Simplify equation: Simplify the equation by observing both sides. –8 + 7u = 7u Subtract 7u from both sides to isolate the constant term. –8 + 7u - 7u = 7u - 7u –8 = 0 Subtract to isolate constant: Analyze the simplified equation. Since –8 does not equal 0, the equation has no valid solutions where both sides are equal. This means there are no values of u that satisfy the equation

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How many solutions does this equation have? $\newline$ $-8 + 7u = 7u$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

Full solution

Q. How many solutions does this equation have?

\newline

-8 + 7u = 7u

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Simplify equation: Simplify the equation by observing both sides. $\newline$ $-8 + 7u = 7u$ $\newline$ Subtract $7u$ from both sides to isolate the constant term. $\newline$ $-8 + 7u - 7u = 7u - 7u$ $\newline$ $-8 = 0$
Subtract to isolate constant: Analyze the simplified equation. $\newline$ Since $-8 \neq 0$ , the equation has no valid solutions where both sides are equal. $\newline$ This means there are no values of $u$ that satisfy the equation