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olve each system
9.

{:[3x+7y=44],[3x+4y=29]:}

Talent Show show will last 9

olve each system $\newline$ $9$ . $\newline$ $\begin{array}{l} 3 x+7 y=44 \\ 3 x+4 y=29 \end{array}$ $\newline$ $2$ . Talent Show show will last $9$

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Solve two-step linear inequalities

Full solution

Q. olve each system

\newline

9

.

\newline

\begin{array}{l} 3 x+7 y=44 \\ 3 x+4 y=29 \end{array}

\newline

2

. Talent Show show will last

9

Write Equations: Write down the system of equations. $\begin{cases} 3x+7y=44 \ 3x+4y=29 \end{cases}$
Eliminate x: Subtract the second equation from the first to eliminate x. $\newline$ $(3x + 7y) - (3x + 4y) = 44 - 29$ $\newline$ $3x + 7y - 3x - 4y = 15$
Solve for y: Simplify the result to solve for y. $\newline$ $7y - 4y = 15$ $\newline$ $3y = 15$
Find y Value: Divide both sides by $3$ to find the value of y. $\newline$ $\frac{3y}{3} = \frac{15}{3}$ $\newline$ $y = 5$
Substitute $y$ into Equation: Substitute $y = 5$ into one of the original equations to solve for $x$ . We'll use the second equation. $\newline$ $3x + 4(5) = 29$ $\newline$ $3x + 20 = 29$
Isolate x Term: Subtract $20$ from both sides to isolate the term with $x$ . $\newline$ $3x + 20 - 20 = 29 - 20$ $\newline$ $3x = 9$
Find x Value: Divide both sides by $3$ to find the value of $x$ . $\frac{3x}{3} = \frac{9}{3}$ $x = 3$

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