SOLUTION: find the x and y intercepts of each equation: a) {{{ 5x+6y=30 }}} b) {{{ 5x^3+y=5 }}}

Algebra ->  Graphs -> SOLUTION: find the x and y intercepts of each equation: a) {{{ 5x+6y=30 }}} b) {{{ 5x^3+y=5 }}}      Log On


   



Question 151770: find the x and y intercepts of each equation:
a) +5x%2B6y=30+
b) +5x%5E3%2By=5+

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
a) 5x + 6y = 30
To find the x-intercepts, we need to let y = 0, then solve for x.
Substituting y = 0 into the given equation, we have:
5x = 30
x = 6
So the x-intercepts is 6.
To find the y-intercepts, we need to let x = 0, then solve for y.
Substituting x = 0 into the given equation, we have:
6y = 30
y = 5
So the y-intercepts is 5.
b) 5x^3 + y = 5
Substituting y = 0 into the equation, we have
5x^3 = 5
x^3 = 1
x = 1
So the x-intercepts is 1.
Substituting x = 0 into the equation, we have
y = 5
So the y-intercepts is 5.