Question 319802: i need to put this in (x,y) form
x+y=10
y=x+8
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! Here we have two linear eequations in two variables. The variables are x and y and we must find their value in the form (x,y). In other words, we need to find the x and y coordinates.
Here are the two given linear equations:
x + y = 10...Equation A
y = x + 8....Equation B
As you can see, Equation B gives us a value for y.
Equation B tells me that y = x + 8. This is very good information to know. We can plug that value for y into Equation A to find x.
x + y = 10
Let y = x + 8
x + x + 8 = 10
2x + 8 = 10
2x = 10 - 8
2x = 2
x = 2/2
x = 1
I just found the value of the x-coordinate of the point (x,y).
To find y, replace x with 1 in EITHER equation above and simplify.
I will use Equation B but you can use Equation A if you want to.
y = x + 8
Let x = 1
y = 1 + 8
y = 9
The point that you are looking for is (1,9). This point is the solution to the system of linear equations in two variables. In other words, the two equations (also known as lines) meet and/or cross each other at the point (1,9).
|
|
|
