What is the y-intercept of the equation 3y + 2x = 12?
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OpenStudy (anonymous):
Let x = 0, and solve for y.
OpenStudy (sydthekid913):
ok so it would be 0+2x=12?
OpenStudy (anonymous):
let x = 0
OpenStudy (sydthekid913):
O x
OpenStudy (sydthekid913):
so it would b 3y + 0?
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OpenStudy (anonymous):
\[3y+2(0) = 12\]
OpenStudy (sydthekid913):
ok now what?
OpenStudy (anonymous):
Solve for y.
OpenStudy (sydthekid913):
Is it 4?
OpenStudy (anonymous):
yes
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OpenStudy (sydthekid913):
so my final answer would be (0,4)?
OpenStudy (anonymous):
yes
OpenStudy (sydthekid913):
kool!
OpenStudy (sydthekid913):
Do I always substitute x for 0?
OpenStudy (anonymous):
Only when you're finding the y - intercept. If it was x - intercept, then you let y = 0.
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OpenStudy (sydthekid913):
So it is always 0?
OpenStudy (anonymous):
Yes
OpenStudy (sydthekid913):
what would I do in a problem like this?
A high school basketball team has a budget specifically for towels and extra basketballs. A towel costs $6 and a basketball costs $30. Assume the budget is $300 and that 25 towels are needed for the team for the entire season. Use a standard form equation to determine how many basketballs may be purchased by the team.
OpenStudy (triciaal):
6t + 30b = 300 t = # towels and b = # balls
25 towels needed so let t = 25
6*25 + 30b = 300
solve for b