Solve for u : {:[-10.74=u-(-11)],[u=◻]:}

Analyze Equation: Analyze the first equation in the system. The first equation is -10.74 = u - (-11). This can be simplified by removing the double negative on the right side of the equation.Simplify Equation: Simplify the equation by adding 11 to both sides. -10.74 = u - (-11) becomes -10.74 = u + 11.Subtract to Solve: Subtract 11 from both sides to solve for u. -10.74 - 11 = u + 11 - 11 This simplifies to -21.74 = u.Check Solution: Check the solution by substituting the value of u back into the original equation. -10.74 = -21.74 - (-11) -10.74 = -21.74 + 11 -10.74 = -10.74 The left side equals the right side, so the solution is correct.

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Solve for

u

\newline

\begin{array}{l} -10.74=u-(-11) \\ u=\square \end{array}

Analyze Equation: Analyze the first equation in the system. $\newline$ The first equation is $-10.74 = u - (-11)$ . This can be simplified by removing the double negative on the right side of the equation.
Simplify Equation: Simplify the equation by adding $11$ to both sides. $\newline$ $-10.74 = u - (-11)$ becomes $-10.74 = u + 11$ .
Subtract to Solve: Subtract $11$ from both sides to solve for $u$ .
$-10.74 - 11 = u + 11 - 11$
This simplifies to $-21.74 = u$ .
Check Solution: Check the solution by substituting the value of $u$ back into the original equation. $\newline$ $-10.74 = -21.74 - (-11)$ $\newline$ $-10.74 = -21.74 + 11$ $\newline$ $-10.74 = -10.74$ $\newline$ The left side equals the right side, so the solution is correct.