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pishuonlain [190]
3 years ago
13

Solve the simultaneous equations y=x+2 and x+y=3

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0

Answer:

Step-by-step explanation:

Write the question in an equation form;

-x+y=2——-equation (1)

x+y=3——-equation(2)

Make y the subject in equation(1)

y=2+x

Substitute y=2+x into equation(2)

x+2+x=3

Group like terms

x+x=3-2

2x=1

Divide both sides by the coefficient of x

2x/2=1/2

x=1/2

Substitute x=1/2 into equation (2)

1/2+y=3

Group like terms

y=3-1/2

y= 6/2 -1/2

y= 5/2

Hence; the values of x and y are 1/2 and 5/2 respectively.

nataly862011 [7]3 years ago
4 0
So we get the solution as
(
5
,
23
)
(
−
2
,
2
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If Janet scored an 85% on her test she answered 34 questions correctly how many questions were on the test
Wittaler [7]
40 questions. You set up a proportion, mutiply 34 by a 100 and get 3400. Then you divide 3400 by 85 and you get ur answer. You could also try guessing by putting in random values you think are the whole number and multiplying them by 0.85. So if you guess 44 is the whole and try checking it by multiplying it by .85 and get a value thats higher than the value the percentage is equal to you try another smaller value. So if 44 doesn't work you can try 40. 40 times .85 is 34 so your answer of 40 questions is correct.
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3 years ago
Is 7.539 greater then7.344
ValentinkaMS [17]

Yes

7.539 is greater than 7.344 by 0.195

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3 years ago
Read 2 more answers
Which of the following is equivalent to f(x)?
Fynjy0 [20]

Answer:

  • D. x^{-3/2}

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = \frac{1}{x\sqrt{x} }

<u>Equivalent expression is:</u>

  • \frac{1}{x\sqrt{x} } = x^{-1}x^{-1/2} = x^{-1 - 1/2} = x^{-3/2}

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6 0
3 years ago
483.6 is what percent of 180
liraira [26]

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

4 0
3 years ago
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