Question

solve the system using the graphing method
2x-y=4
2x+3y=12
Is the answer this I'm going to attach it on a file

Answer 1

Where do the lines intersect? With coordinates (x, y)

Answer 2

they interest in (-3, 2) but I'm not sure if i did the solving correctly

Answer 3

Well, for the two lines you graph you should have,
\(2x-y=4\\
-y=-2x+4\\
\color{blue}{y=2x-4}\)

and

\(2x+3y=12\\
3y=-2x+12\\
\color{blue}{y=-\dfrac{2}{3}x+4}\)

Graph those!

Answer 4

@waffles56 knock knock anyone home?

Answer 5

they intersect in (3,2)?

Answer 6

Correct!

Answer 7

yay thanks :) i had a question on substitution method
5x-2y=-15
2x-y=-6

i got (-3,0) is that correct?

Answer 8

5x-2y=-15
2x-y=-6

2x-y=-6
-y=-2x-6
y=2x+6

5x-2(2x+6)=-15
5x-4x-12=-15
x-12=-15
x=-3

y=2(-3)+6
y=-6+6=0

(-3, 0)

Correct! Good job!

Answer 9

thanks so much I'm going to try one with fractions and you let me know if i did any mistakes i would really appreciate :)

Answer 10

Sure, no problem!