What are the solutions of the system?

y=x^2-3x+2
y=4x-4

A. (1, 0) and (–6, –28)

B. (1, 20) and (6, 0)

C. (1, 0) and (6, 20)

D. no solution

Question

What are the solutions of the system?

y=x^2-3x+2
y=4x-4


 
 A. (1, 0) and (–6, –28)  
 
 B. (1, 20) and (6, 0)  
 
 C. (1, 0) and (6, 20)  
 
 D. no solution

phi · Answer

i would try each case.  (1,0) means x=1 and y=0.  Does this pair work for both equations?

anonymous · Answer

Try setting the two equal to each other first, that will tell you when they intersect.

:-)

$$x^2-3x+2=4x-4$$
$$x^2-7x+6=0$$
$$(x-6)(x-1)=0$$

anonymous · Answer

yes

anonymous · Answer

Then plug in these two x solutions as inputs into either one of the equations, doesn't matter which as they'll both give the same thing.  That give you your y coordinate output at that x coordinate input, the very definition of what a function is btw.

anonymous · Answer

that means the answer is C

anonymous · Answer

$$y=f(x), f(0)=4x-4=4(1)-4=0$$

anonymous · Answer

like that, if it wasn't clear :-)

anonymous · Answer

so is it C

anonymous · Answer

$$f(6)=4x-4=4(6)-4=24-4=20$$

anonymous · Answer

Try the other equation if you have doubt, it gives you 20 out when x is 6 as well.

anonymous · Answer

thanks might need more help soon