Answered

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One integer is 10 more than another. Their sum is 4. What are the two integers?

Sagot :

Answer:

Call the first integer x and the second integer y.

I am just putting what you wrote in the word problem into equation form:

x = y + 10

x + y = 4

Having two related equations which each have two variables is called a system of equations. Plug in x from the first equation (which is y + 10) into the second, instead of the variable "x."

It would be:

(y + 10) + y = 4

2y + 10 = 4

2y = -6

y = -3

Now that you have y, plug it in to one of the original equations. Let's plug it into the second one,

x + y = 4.

x + (-3) = 4

IS THE SAME AS

x - 3 = 4

x = 7

There's your solution! x = 7, y = -3. You can also write the solution in coordinate form since you have an x and a y. In this case, it would be (7,-3).

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