SOLUTION: Do the graphs of 4y=(x-3)2 and 3x-y=14 intersect at (5,1)?Explain

Question 174126This question is from textbook algebra 1
: Do the graphs of 4y=(x-3)2 and
3x-y=14 intersect at (5,1)?Explain
This question is from textbook algebra 1

Answer by SAT Math Tutor(36) (Show Source): You can put this solution on YOUR website!
Yes, they do because (5,1) is a point on each of their graphs. You can find this by plugging in 5 for x and 1 for y into each equation.
4(1) = (5-3)*2
4 = 2*2
4 = 4
So we know (5,1) is on this graph....now the next one:
3(5) - 1 = 14
15 - 1 = 14
14 = 14
It is also on this graph so the graphs clearly intersect at (5,1).
RELATED QUESTIONS
44. If f(x)=3x+2 at what point do the graphs of f(x) and f^-1(x)... (answered by lwsshak3)

At what two points do the graphs of y=2x^2-5x-12 and y=(1/2)x^2-3x+4... (answered by jsmallt9)

At how many points do the graphs of y = x^3 and y = x^2 + 4x... (answered by richwmiller)

In how many points do the graphs of 2(x+1)^2 + (y-2)^2 = 25 and 4(x+1)^2 +3(y-2)^2= 15... (answered by greenestamps)

at which of the following points do the graphs of y=2x+1 and y=x-7... (answered by solver91311)

The graphs of the two lines 4x= 3y + 23 and 4y + 3x= -19 are? A. do not intersect B.... (answered by Alan3354)

the graphs of the two lines 4x = 3y + 23 and 4y + 3x = -19 A. do not intersect. B.... (answered by sudhanshu_kmr)

Antonio graphs these equations and finds that the lines intersect at a single point, (�5, (answered by Boreal)

at what point do the graphs of the equations y=7x-3 and -6x+y=2 intersect (answered by mananth)