How do you find the x & y intercept for 5x+3y=30?

1 Answer

Answer:

The x-intercept is + 6 and the y-intercept is + 10

#(6,0)# and #(0,10)#

Explanation:

The #x#-intercept is the value for #x# when #y=0#, and
the #y#- intercept is the value of #y# when #x=0#.

Replace each variable in turn with 0 and solve.

#5x + 3y = 30# Put zero in place of x and solve for y

#5(0) + 3y = 30#

#(3y)/3# = #30/3#

#y = 10# The y intercept is + 10

#5x + 3y = 30# Put zero in place of y and solve for x

#5x + 3(0) = 30#

#(5x)/5 = 30/5#

#x = 6# The x intercept is + 6