How do you create equations for this problem so I can graph it and get the answer?

You bought a total of 6 pens and pencils for $4. If each pen costs $1 and each pencil costs $.50, how many pens and pencils did you buy?

Question

How do you create equations for this problem so I can graph it and get the answer?

You bought a total of 6 pens and pencils for $4. If each pen costs $1 and each pencil costs $.50, how many pens and pencils did you buy?

danjs · Answer

was that you with this prob, no notifications to remember

danjs · Answer

no alerts of responses, sorry

anonymous · Answer

yeah lol i didn't get it

danjs · Answer

you had both lines correct

6 = x + y
4 = 1x + (1/2)y

danjs · Answer

you can just use the axis intercepts to graph them fast...

danjs · Answer

6 = x + y

if x=0, y = 6
if y = 0, x = 6, 

2 points,  there is the line

danjs · Answer

same for the other line

anonymous · Answer

hmm, but i got 2 pens and 4 pencils for the answer

danjs · Answer

yes,  you set both lines equal to solve that,   on the graph, both lines are equal where they intersect one another at a point (x,y)

danjs · Answer

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danjs · Answer

the scales are messed up, but solution should be at (2,4)

anonymous · Answer

ohh wow, thanks so much

danjs · Answer

i just limited it to the first quadrant, since pens and pencils are positive numbers

anonymous · Answer

i see , now i get it thanks!

danjs · Answer

welcome