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mr Goodwill [35]
4 years ago
15

How do I use elimination for the equations-x+5y=20 and 12y= 2x+ 60?

Mathematics
1 answer:
Slav-nsk [51]4 years ago
3 0

\left\{\begin{array}{ccc}-x+5y=20\\12y=2x+60&\text{subtract 2x from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-x+5y=20\\-2x+12y=60&\text{divide both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+5y=20\\x-6y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-10\to\boxed{y=10}\\\\\text{Put the value of y to the second equation:}\\\\x-6(10)=-30\\x-60=-30\qquad\text{add 60 to both sides}\\\boxed{x=30}\\\\Answer:\ \boxed{x=30\ and\ y=10\to(30,\ 10)}

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The four digit numeral 3AA1 is divisible by 9. What digit does A represent
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Answer:

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Step-by-step explanation:

In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.

In our case, 4+A+A+1= 9k where k is an integer. the easiest way happens when k=1

5+2A= 9 \rightarrow 2A=4 \rightarrow A = 2

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.

4 0
2 years ago
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egoroff_w [7]
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3 0
3 years ago
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8th grade solving systems
Serhud [2]

Answer:

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Step-by-step explanation:

if x is how much your friend collected, then how much you collected would be x + 22 because you collected 22 more then her. and if you add both of those together to get how much you collected together (the total) you get 88. so x (your friends sea shells) plus x+22 (your sea shells) is 88. tell me if you also need help solving the actual equation

you have x+22 + x = 88

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then you subtract 22 to both sides because you want to get x alone

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then you divide by 2 on both sides

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5 0
3 years ago
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It costs $200.00 to rent the mini-golf course, plus $7.25 per person. What would be the total cos
igor_vitrenko [27]

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7 0
3 years ago
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Given cos A = 0.25 find angle A in degrees. Round your answer to the nearest hundredth.
Fantom [35]
We have that
cos A=0.25
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Round to the nearest hundredth-----> A=75.52²

the answer is
the option <span>75.52°</span>
8 0
3 years ago
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