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zepelin [54]
3 years ago
13

How to answer this question

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0
Sure! What is the question? Make sure to please be more specific while posting something! Thanks! 
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1/2x + 1/3y = 7
pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill

7 0
4 years ago
Daniel has dinner at a restaurant and the cost of his meal is
Burka [1]
Answer is a step by step so you divide
5 0
3 years ago
-4x x 2 x -3 + 10 squared
mr_godi [17]
The answer is 24x+100
8 0
4 years ago
Read 2 more answers
Write the correct verb
Dafna1 [17]

Answer:

Will

Step-by-step explanation:

The key word in this sentence is tomorrow, because tomorrow is in the future, therefore your answer is will.

6 0
3 years ago
The length of a pen is 5 more than its width.The perimeter is 26 m.Find the length and the width.
meriva
P=2l+2w

Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.

26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4

Thus the width is 4m. Let's find the length.

l=w+5
l=4+5
l=9

The length of a pen is 9m.
4 0
3 years ago
Read 2 more answers
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