The two lines, P and Q, are graphed below:

(graph below)

Determine the solution and the reasoning that justifies the solution to the systems of equations. (4 points)

(0, 8), because this point is true for both the equations
(0, 8), because the lines intersect the y-axis at these points
(-2, 4), because this point makes both the equations incorrect
(-2, 4), because it is the point of intersection of the two graphs

Question

The two lines, P and Q, are graphed below:

(graph below)

Determine the solution and the reasoning that justifies the solution to the systems of equations. (4 points)

 	
	(0, 8), because this point is true for both the equations
	(0, 8), because the lines intersect the y-axis at these points
	(-2, 4), because this point makes both the equations incorrect
	(-2, 4), because it is the point of intersection of the two graphs

sparklestaraa · Answer

I think its D @butterflydreamer

butterflydreamer · Answer

correct! :D

sparklestaraa · Answer

A system of equations is shown below:
6x - 2y = 3     (equation 1)
5x + 3y = 4     (equation 2)

A student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. If equation 2 is multiplied by 1, which of the following steps should the student use for the proof? 

 	
	Show that the solution to the system of equations 10x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
	Show that the solution to the system of equations 10x - 2y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
	Show that the solution to the system of equations 11x - y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
	Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations

I think this one is B @butterflydreamer

butterflydreamer · Answer

6x + 5x = 11x true? 
So this means that options A and B are knocked out.
So now we have decide between option C and D :)
So what is 6x + 5y -2y +3y = 3 + 4

sparklestaraa · Answer

ohhhhhhh D :D because that has plus :D

butterflydreamer · Answer

yepp :) What they wanted you to do was add equation 1 and equation 2 because the question already mentions the bit about the "sum" and since equation 2 is multiplied by 1, it will remain unchanged :) 
so D is correct

sparklestaraa · Answer

ok I'm going to tag u in a few more :D

butterflydreamer · Answer

xD i would love to stay but i really need to head off  :( I have an early day for school tmrw. Unless your questions are really quick !

sparklestaraa · Answer

They will be really quick because i just need to check the answers

butterflydreamer · Answer

okay! fire away.