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cricket20 [7]
3 years ago
13

What is the answer to this?

" title="\frac{-3(x-10)}{4}+2=11" alt="\frac{-3(x-10)}{4}+2=11" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Mila [183]3 years ago
7 0

Step-by-step explanation:

=== [ -3(x-10)/4] + 2 = 11

==> [( -3x + 30 + 8)/4 = 11

==> -3x = 44 - 38

==> -3x = 6

==> -x = 6/3

==> x = -2

Vika [28.1K]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

\frac{-3(x-10)}{4} =9 (subtracted 2 from both sides)

-3(x-10) = 36 (multiplied both sides by 4)

x-10 = -12 (divided both sides by -3)

x=-2 (added 10 to both sides)

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\underline{\underline{\large\bf{Solution:-}}}\\

The standard form of a line is given by -

\green{ \underline { \boxed{ \sf{Ax+By=C}}}}

where

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  • x = x-intercept
  • B= integer
  • y = y-intercept
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<h3><u>Given Equation: - </u></h3>

\begin{gathered}\\\implies\quad \sf y =  -\frac{5x}{4} -1 \\\end{gathered}

Arranging equation in standard form -

\begin{gathered}\\\implies\quad \sf y =  -\frac{5x}{4} - \frac{1}{1} \quad (1 = \frac{1}{1})\\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  -\frac{5x}{4} - \frac{1 \times 4}{1 \times 4} \\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  -\frac{5x}{4} - \frac{4}{4} \\\end{gathered}

\begin{gathered}\\\implies\quad \sf y =  \frac{-5x-4}{4}  \\\end{gathered}

\begin{gathered}\\\implies\quad \sf 4y =  -5x-4  \\\end{gathered}

\begin{gathered}\\\implies\quad \sf 4y +5x =-4  \\\end{gathered}

\begin{gathered}\\\implies\quad \sf 5x +4y=-4  \\\end{gathered}

Comparing with standard form of line -

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Thus , 5 is our required answer.

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When subtracting / adding values to both sides, the inequality does not change.

When multiplying / dividing by a positive value, the inequality also doesn't change, but when multiplying , dividing with a negative value, the inequality must be flipped.
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