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write a simplified algebraic equation for each problem.then,solve the equation.​

Write A Simplified Algebraic Equation For Each Problemthensolve The Equation class=

Sagot :

ANSWERS:

For Number One.

  • Simplified Algebraic Equation

> Let x be the number of women. Thus, the number of men is x + 6. The equation will be [tex] \tt x + x + 6 = 30[/tex] or [tex] \tt 2x + 6 = 30[/tex].

[tex]\huge{\boxed{\large\begin{array}{l} \tt 2x + 6 = 30 \\ \tt 2x = 30 - 6 \\ \tt 2x = 24 \\ \tt x = 24 \div 2 \\ \tt x = 12\end{array}}}[/tex]

> There are [tex] \tt \red{12}[/tex] women and [tex] \tt 12 + 6 = \red{18} [/tex] men.

For Number Two.

  • Simplified Algebraic Equation

> Let [tex] \tt x[/tex] be the number of votes Jhervil received. Thus, the number of votes Josh got is [tex] \tt x - 4[/tex] and Prince had [tex] \tt (x -4) +16[/tex] votes. The equation will be [tex] \tt x + x - 4 + x - 4 + 16 = 77[/tex] or [tex]\tt 3x + 8 = 77[/tex].

[tex]\huge{\boxed{\large\begin{array}{l} \tt 3x + 8 = 77 \\ \tt 3x = 77 - 8 \\ \tt 3x = 69 \\ \tt x = 69 \div 3 \\ \tt x = 23\end{array}}}[/tex]

> Jhervil got [tex] \tt \red{23}[/tex] votes while Josh got [tex] \tt 23 - 4 = \red{19}[/tex] votes and Prince got [tex] \tt 19 +1 6 = \red{35}[/tex] votes.