Question

X/4 -3 = y/6, 1/2 x-y =-2 elimination method

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LINEAR EQUIATIONS

Kathy H. asked • 10/16/13

I do not understand how to linear equations my graphing. I have seen videos of how they do the problem it does not make sense

x+y=8

x-y=4

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Parviz F. answered • 10/16/13

Mathematics professor at Community Colleges

X+ y = 8 (1)

X - y = 4 ( 2)

To solve this system first we go by elimination method, meaning first eliminate one variable by combining 2 equations, and reducing the system to one variable, solve it, then substitute the founded value in one of the equation and get the 2nd variable.

Here we add 2 equation together: 2nd method is Substitution.

2X = 12 , then X =6 Solve for X in equation (1), Substitute in Equ (2)

Substitute in equation (1) : X = 8 - y

6 + y = 8 , then Y=2 Substitute in Equ (2) :

8 - Y - y = 4

4 = 2Y Y= 2

Substitute back in (1):

X + 2 = 8 X= 6

To find graphical Solution: Just Graph 2 lines of

X + Y = 8

X - Y = 4 , and intersection points should read ( 6, 2 )