Question

solve the inequality, 2x+3y ≤6 show steps plz

Answer 1

here we can only solve your inequality, graphically

Answer 2

in order to that, first we have to draw the line whose equation is:
2x+3y=6

Answer 3

I will show all needed steps

Answer 4

Let's consider the equation:
2x+3y=6

Answer 5

If I set x=0, I can write:
2*0+3y=6
then what is y?

Answer 6

2?

Answer 7

that's right! So we know that our line, will pass at point (0,2)

Answer 8

Now, if I set y=0, I can write:
2x+3*0=6
what is x?

Answer 9

3?

Answer 10

ok! so our line also passes at point (3,0)

Answer 11

here is your line:

Answer 12

thanks for the help

Answer 13

now if I solve your inequality for y, I get:
\[\Large y \leqslant 2 - \frac{2}{3}x\]