SOLUTION: I'm guessing this is a pre algebra question. I am suppose to solve the systems of equations by elimination. This is how the problem looks. Y=2x Y= -x+6

Algebra ->  Equations -> SOLUTION: I'm guessing this is a pre algebra question. I am suppose to solve the systems of equations by elimination. This is how the problem looks. Y=2x Y= -x+6      Log On


   

Question 900705: I'm guessing this is a pre algebra question. I am suppose to solve the systems of equations by elimination. This is how the problem looks.
Y=2x
Y= -x+6
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
No reason why you need upper case for y but lower case for x.
y=2x and y=-x+6.
Both equations are in slope-intercept form. If you do not yet know how to use slope-intercept
form, then pick values for x and compute corresponding values for y to make a table of ordered pairs.

y=2x has slope 2 and contains (0,0).
y=-x+6 has slope -1 and contains (0,6).

graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C2x%2C-x%2B6%29
What is the intersection point? That is the solution for the two equations.

ELIMINATION METHOD:
Try using the equations arranged in standard form.
highlight_green%28system%282x-y=0%2Cx%2By=6%29%29

Add the corresponding members will eliminate y.
2x-y%2Bx%2By=0%2B6
3x=6
highlight%28x=2%29

Multiply the second equation by 2; and then subtract one equation from the other
to eliminate x so you can find value of y.
2x-y-%282x%2B2y%29=0-12
2x-y-2x-2y=-12
-3y=-12
highlight%28y=4%29

Elimination method gave intersection point of (2,4).