SOLUTION: Determine the point of intersection of the following system of linear equations graphically. y=-1/2x + 3 3y-2x=-12

Question 469733: Determine the point of intersection of the following system of linear equations graphically.
y=-1/2x + 3
3y-2x=-12
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
0.5 x + 1 y = 3 .............1
-2 x + 3 y = 12 .............2

multiply (1)by -3
Multiply (2) by 1
-1.5 x -3 y = -9
-2 x 3 y = 12
Add the two equations
-3.5 x = 3
/ -3.5
x = -0.86 OR - 6/7
plug value of x in (1)
0.5 x + 1 y = 3
-0.43 + 1 y = 3
1 y = 3 + 0.43
1 y = 3.43
y = 3.43 OR 3 3/7

RELATED QUESTIONS
Determine the point of intersection of the following system of linear equations.... (answered by mananth)

solve each system of equations graphically by finding the intersection point. y= 2x y (answered by jorel1380)

Solve the following system of linear equations graphically and check. 2y-8=10x... (answered by ewatrrr)

find solution graphically to the system of linear equations 2x=4... (answered by rapaljer)

Find the point of intersection for the system of linear equations 2x - 3y = - 2 and x = (answered by ankor@dixie-net.com)

Solve the following pair of equations graphically. 2x - 3y=1 1.25x +... (answered by ikleyn)

solve the following pair of equations graphically. 2x - 3y = 1 1.25x + 0.5y = 3 (answered by Solver92311,ikleyn)

Solve the following pair of equations graphically. 2x - 3y = 1 1.25 x + 0.5y = 3 (answered by ankor@dixie-net.com)

solve the following pair of equations graphically. 2x-3y=1... (answered by math_helper)