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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).