Question 34017
Next time please only put one problem in each submission.

1. a.*[invoke describe_linear_equation 3, 2, 6]and *[invoke describe_linear_equation 4, -1, 8]since in both equations the x intercept is 2, you can plug in 2 for x and solve for y:
{{{3*2+2y=6}}}
{{{6+2y=6}}}
{{{6-6+2y=6-6}}}
{{{2y=0}}}
{{{2y/2=0/2}}}
{{{y=0}}}
You can also check your answer in a variety of ways.

1.b. Do in the same way as above (x=1.33333, y=1.33333)
1.c.Do in the same way as above (x=4, y=2)


2.a
{{{3x - 2y = 23}}}
-3(x + 5y = -15)
3x-2y=23
+(-3x-15y=45)
{{{-17y=68}}}
{{{-17y/-17=68/-17}}}
{{{y=-4}}}
plug in y=-4 in one of the original equations.
{{{x+(-20)=-15}}}
{{{x-20+20=-15+20}}}
{{{x=5}}}
We can check by pluging in x and y:
{{{3(5)-2(-4)=23}}}
{{{15+8=23}}}
{{{23=23}}}
And in the other equation:
{{{5+5(-4)=15}}}
{{{5-20=-15}}}
{{{-15=-15}}}
[b]Thus x=5 and y=-4[/b]
2.b. Same process as above (x=-5 and y=1.5)
2.c. Same process as above ({{{x=1/3}}} and {{{y=1/2}}})

Smiles,
lyra