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poizon [28]
3 years ago
15

The sum of two numbers is -47 the difference is -39 find the numbers

Mathematics
2 answers:
neonofarm [45]3 years ago
7 0
X = -43 Y=-4 is the answer I think?
mash [69]3 years ago
4 0

Answer:

x = -43

y = -4

Step-by-step explanation:

In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.

Let's assume the numbers x and y, now we write the expressions.

x + y = -47

x - y = -39

Take the second equation and find x.

<u>Calculations:</u>

x - y = -39 (Add y on both sides)

x = -39 + y

Now that you got the value of x in terms of y, we can substitute.

<u>Calculations:</u>

(-39 + y ) + y = -47

2y - 39 = -47

2y = -8

y = -8/2 = -4

y = -4

Now that we got y, we can substitute that value in any of the equations to find x.

x - 4 = -47 or x + 4 = -39

x = -43

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Helpppppp please !!?
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Please refer to my image where it shows my work as I’m explaining.

Okay, for system 1:

1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.

2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.

3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.

FOR SYSTEM 2:

1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.

2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8

3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20


To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!

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