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olga nikolaevna [1]
2 years ago
8

HELP?

Mathematics
1 answer:
poizon [28]2 years ago
4 0
My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.

The solutions are
  (x, y) = (-0.5, 7.5)
  (x, y) = (3, 25)

_____
When you equate the expressions for y, you get the quadratic
  2x² -5x -3 = 0
  (2x +1)(x -3) = 0
  x = -1/2 or 3
  y = 5(x +2) = 15/2 or 25

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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
3 years ago
if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120​
kati45 [8]
78


step by step explanation:

first: divide 600 and 15

answer to 600/15: 40

second: divide 3120 and 40

final answer: 78
5 0
3 years ago
HELP P L E A S E ! !
alex41 [277]

Answer:

A is true but I dont know the rest I am very sorry   .-.

Step-by-step explanation:

I Just added 18 + 12 = 30 + 10 = 40 and that is why A is true

3 0
3 years ago
987tuuvkhctgjkdrguicuip'k;lclov.bi;ohgilv.dkch
Kobotan [32]

Answer:

bdhdbhdjndjxbdixn,jzhhdhuu,ubxhsjxjnx

6 0
3 years ago
Read 2 more answers
i'm so clueless 3 4 ÷ 1 5 ? A fraction bar. The top bar is labeled 1. 4 bars underneath the bar are labeled one-fourth. 5 bars u
Gnoma [55]

The answer is 3/4. I hope this helped.

8 0
3 years ago
Read 2 more answers
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