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Yuliya22 [10]
2 years ago
5

) What is the solution to the system of equations?​

Mathematics
1 answer:
yaroslaw [1]2 years ago
4 0

\begin{cases} y = -\cfrac{1}{3}x+2\\[1em] y = x + 2 \end{cases}\qquad \implies \stackrel{y}{-\cfrac{1}{3}x+2}~~=~~\stackrel{y}{\cfrac{}{}x + 2} \\\\\\ -\cfrac{1}{3}x=x\implies -x=3x\implies 0=4x\implies \cfrac{0}{4}=x\implies \boxed{0=x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{y = x + 2\implies y = 0+2\implies }\boxed{y = 2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~2)~\hfill

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How do I solve for x?
notka56 [123]
Solving:
\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
Make the Least Common Multiple (2,3,6)
2,3,6\:|2
1,3,3\:|3
1,1,1\:|\underline{2*3=6}


<span>Replace denominators and resolve:
</span>\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}
Cancel the dominators
\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}
3(3+4x) + 2(5-x) = 29
9 + 12x + 10 - 2x = 29
12x - 2x = 29 - 9 - 10
10x = 20 - 10
10x = 10
x =  \frac{10}{10}
\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark


7 0
3 years ago
Subtract -7x^2+4x+2−7x 2+4x+2 from x^2-3x 2 −3.
expeople1 [14]

Answer:

The answer is 4

Step-by-step explanation:

4 0
3 years ago
SOLVE ATTACHMENT 30 POINTS!!!!!!
Masteriza [31]

Answer:

<h2>B = \frac{6D + 18 {f}^{3} }{M}</h2>

Step-by-step explanation:

- 3 {f}^{3}  +  \frac{1}{6} MB = D

Multiply through by 6 to eliminate the fraction

That's

- 18 {f}^{3}  + MB = 6D

Move - 18f³ to the right side of the equation

That's

MB = 6D + 18 {f}^{3}

Divide both sides by M to make B stand alone

That's

\frac{MB}{M}  =  \frac{6D + 18 {f}^{3} }{M}

We have the final answer as

B = \frac{6D + 18 {f}^{3} }{M}

Hope this helps you

8 0
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Read 2 more answers
Solve for x. -3(x+n)=x
marusya05 [52]

Answer:

x = 3/4 n

Step-by-step explanation:

-3(x+n)=x

Distribute

-3x-3n = x

Add 3x to each side

-3x-3n+3x= x+3x

3n = 4x

Divide by 4

3/4n = 3x/3

3/4 n = x

3 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=22°, and CD = 80 feet. Find the length of EC to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

30

Step-by-step explanation:

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3 years ago
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