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Juliette [100K]
3 years ago
10

What is the solution of the system? Use elimination. 3 (-5x-2y=6) 3x+6y=6

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

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Andre tried to solve the equation 1/4(x+12)=2 what was his mistake?
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Step-by-step explanation:

1. 1/4(x + 12)=2 - first isolate X'

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2. 1/4(x) = -10  - 1/4  since its a fraction, you'll have to subtract not divide

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3. x = -10.25

Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.

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3 years ago
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
GenaCL600 [577]

Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let A represent the age of Afful and N represent the age of Naomi.

The sum of their ages is 34. In other words:

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In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

A+5=2N

Solve for the system. Substitute.

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telo118 [61]
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The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.

I hope this helps!
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