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Marta_Voda [28]
3 years ago
13

Solve the system of equations using the substitution method.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0
Multiply 3x +y =23 by -4

x+4y=4
-12x+(-4y)=-92

Add together

-11x = -88

x = 8

Plug x in to find y.

8 + 4y = 4

Subtract 8 from each sides

4y = -4

Divide by 4

y = -1

So the answer is x =8, y= -1

I hope that helps!
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One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I wil
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Answer:

17

Step-by-step explanation:

Let us suppose two years ago my brother's age was x years

Then, my age was 3x

Three years from now, my brother's age will be (x +2+3) = (x+5) years

And my age will be (3x+2+3) = (3x+5) years

But it is given that i will be twice as old as my brother.

So, 2(x+5)= (3x+5)

or, x= 5 years

So my brother's present age is 5+2= 7 years

And my age is 5*3+2= 17 years

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3 years ago
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A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 libraria
kow [346]

Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

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4 years ago
Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account.
weqwewe [10]

Answer:

A.b = 210 + 15x

B.b = 210 – 15x

C.b = 195 + 15x

D.b = 195 – 15x

Step-by-step explanation

B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.

3 0
3 years ago
Does x=5 satisfy 3(x+1)=3x+3
Svetradugi [14.3K]

Answer:

Yes

Step-by-step explanation:

Well let's solve it!

In order to solve this, plug in x into the equation.

Let's do the side on the LEFT of the equal sign first.

3(3+1) = 3(4) = 12

Now Let's do the side on the RIGHT of the equal sign.

3(3) + 3 = 9+3 = 12

So this means they are equal or congruent!


Hope this Helped!

3 0
3 years ago
Juan has c cheesecakes. Clarence has 5 less than 3 times as many cheesecakes as Juan has and Darlene has 2 more than half as man
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D= C/2+2
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