SOLUTION: x-y=-6 x-3y=7 -3+y=15 2x-10y=-30 6x+12y=36 find the x intercept

Algebra ->  Graphs -> SOLUTION: x-y=-6 x-3y=7 -3+y=15 2x-10y=-30 6x+12y=36 find the x intercept      Log On


   



Question 29630: x-y=-6
x-3y=7
-3+y=15
2x-10y=-30
6x+12y=36
find the x intercept

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
to find the x-intercept ... solve for x
+x+=+ym+%2B-+b+ this is the same formula as the point slope form of +y+=+mx+%2B-+b+
where in both cases, b is the x-intercept or y-intercept.
+x+-+y+=+-6+ add y to both sides
+x+=+y+-+6+ -6 is it x-int.
next problem
+x+-+3y+=+7+ add 3y to both sides
+x++=+%2B+3y+%2B+7+ +7 is the x-inter
next ...
+-3%2By=15+ there is no x ... this is a horizontal line. solve for y. Add 3 to both sides
+y+=+15+%2B+3+ add
+y+=+18+ Since y is not equal to 0, the line does not touch the x-axis
next ...
here is a short cut without having to solve the WHOLE equation.
+6x+%2B+12y+=+36+ look at the x value and the constant ...
+highlight%286x%29+%2B+12y+=+highlight%2836%29+ work only that portion ...
+6x+=+36+ divide both sides by 6
+x+=+6+ this is the x intercept
next ... do the same on the last one.
+2x-10y=-30+
+highlight%282x%29-10y=highlight%28-30%29+
+2x=-30+ divide by 2
+x+=+-15+