Answer:
(1, 1 )
Step-by-step explanation:
y = 3x - 2 → (1)
y = - 2x + 3 → (2)
substitute y = 3x - 2 into (2)
3x - 2 = - 2x + 3 ( add 2x to both sides )
5x - 2 = 3 ( add 2 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
substitute x = 1 into either of the 2 equations
substituting into (1)
y = 3(1) - 2 = 3 - 2 = 1
solution is (1, 1 )
Answer:
(1,1)
Step-by-step explanation:
The question is asking if there is a point, (x,y), that satisfies (works) for both equations. Is there a combination of x and y that works in both.
We can solve this in one of two ways: mathematically and graphically. If the lines intersect, then they will have the one common value of (x,y).
Mathematically:
y = 3x − 2
y = -2x + 3
Set them equal to each other (i.e., y = y)
3x − 2 = -2x + 3
5x = 5
x = 1
Use this value of x in either equation to find y:
y = 3x − 2
y = 3(1) − 2
y = 1
The common point is (1,1)
Graphically:
Plot the two lines and look for the intersection point. See attached.
See attachment.
They intersect at (1,1)
