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EleoNora [17]
4 years ago
12

Solve 8(1/4×+3/4)-3=17

Mathematics
2 answers:
stepladder [879]4 years ago
7 0
8(1/4x + 3/4) -3 =17

First distribute which results in (8/4x + 24/4)-3 =17.
Now just simply simplify it into (2x+6)-3 =17
Then you combine like term : 2x+3 =17

Subtract 3 on both sides : 2x=14

Finally divide 2 on both sides to isolate x: x=7
marta [7]4 years ago
4 0

Answer:

x=7

Step-by-step explanation:

8(1/4x+3/4)-3=17

Add 3 to each side

8(1/4x+3/4)-3+3=17+3

8(1/4x+3/4)=20

Distribute the 8

2x +6 =20

Subtract 6 from each side

2x+6-6 = 20-6

2x=14

Divide by 2

2x/2 =14/2

x=7

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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{1-0}\implies \cfrac{4}{1}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=4(x-0) \\\\\\ y-2=4x\implies \blacktriangleright y=4x+2 \blacktriangleleft

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