How do you find the x and y intercepts of #5x+3y=15#? Algebra Graphs of Linear Equations and Functions Intercepts by Substitution 1 Answer salamat Apr 7, 2017 #x# -intercept #= 3# #y# -intercept #= 5# Explanation: #5 x + 3 y = 15# #x#-intercept, when #y = 0# #5 x + 3 (0) = 15# #5 x = 15# #x = 15/5 = 3# #y#-intercept, when #x = 0# #5 (0) + 3 y = 15# #3 y = 15# #y = 15/3 = 5# Answer link Related questions What is the x and y Intercepts? How many intercepts can a line have? How do you use substitution to find intercepts? How do you identify the intercepts on a linear graph? How do you use the x and y intercepts to graph a linear equation? How do you find the x and y intercept for #y=2x+3#? How do you find the x intercept for #y=2#? What is the y intercept for the #y=2# graph? What is the y intercept for #x=-1#? How do you find the intercepts of #x^2y-x^2+4y=0#? See all questions in Intercepts by Substitution Impact of this question 7867 views around the world You can reuse this answer Creative Commons License