SOLUTION: Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines

Algebra ->  College  -> Linear Algebra -> SOLUTION: Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines      Log On


   

Question 523618: Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
3y = 5 -x
3y = -x +5
y = -(1/3)x + 5/3
.
2x = y + 3
2x -3 = y
y = 2x -3
.
In the graph that follows:
The red line is y = -(1/3)x + 5/3
The green line is y = 2x -3
.
+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C-1%2F3%2Ax%2B5%2F3%2C2%2Ax-3%29+
,
It appears the point (2,1) satisfies both equations.
.
Check:
y = -(1/3)*2 + 5/3
y = -2/3 + 5/3
y = 3/3 = 1
.
y = 2*2-3
y = 4 -3
y = 1
.
Correct.