SOLUTION: Solve the system by graphing both lines on one coordinate system. Show work and each point. 2x+y=3 x-3y=12

Question 1053074: Solve the system by graphing both lines on one coordinate system. Show work and each point.
2x+y=3
x-3y=12
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the system by graphing both lines on one coordinate system. Show work and each point.
2x+y=3
x-3y=12
------------
They're 2 straight lines, so you need 2 points for each.
==============
2x+y=3
--> y = -2x + 3
Pick 2 values for x and find y.
eg,
x = 0, y = 3 ---> the point (0,3)
x = 2, y = -1 --> the point (2,-1)
==========
Plot the 2 points.
Draw a line thru them.
=======================================
Do the same for x-3y = 12
You might use x = 3y + 12 and pick values for y and find x.
Makes no difference.
Plot 2 points, and draw a line thru them.
===============================================
The solution to the system of 2 equations is the intersection of the 2 lines.

RELATED QUESTIONS
solve the system by graphing both lines on one coordinate system. 2x+3y=3... (answered by Alan3354,josgarithmetic,MathTherapy)

Solve the system by graphing both lines on one coordinate system. 2x + y = 3 x - 2y =... (answered by josgarithmetic)

Solve the system by graphing both lines on one coordinate system. 23) x + 4 y = -16 x - (answered by josgarithmetic)

Solve the system by graphing both lines on one coordinate system. 4x+y=4... (answered by Alan3354)

Please help me solve this: Solve the system by graphing both lines on one coordinate... (answered by josgarithmetic)

How do I solve the system by graphing x+y=21 and x-y=3? How do I figure out the point... (answered by Edwin McCravy,Alan3354)

find the solution of the system x+y=8 and y=2x+-1 by accurately graphing both lines and... (answered by mananth)

Solve the system by graphing both lines. x-y=-2... (answered by Alan3354)

Solve the system of equations for x and y by graphing. Clearly mark the intersection... (answered by checkley75)