How do I use a graph to solve the system of equations #4x+3y=7# and #3x+5y=8#? Precalculus Solving Systems of Two Equations Solving Graphically 1 Answer Vinícius Ferraz May 23, 2018 Explanation: #4*0 + 3y = 7 => (0, 7/3 = 2.3)# #4x + 3 * 0 = 7 => (1.75 = 7/4,0)# #3*0+5y=8 => (0, 8/5 = 1.6)# #3x + 5*0 = 8 => (2.67 = 8/3,0)# preview #y = (7 - 4x)/3 = (8 - 3x)/5# #35 - 20x = 21 - 9x# #14 = 29x# #y = (7*29 - 4*14)/(3*29) => (14/29, 49/29) = (0.48, 1.69)# Answer link Related questions How do I find the solution to a system of equations graphically? What are common mistakes students make with solving a system of equations graphically? How do I use a graph to solve the system of equations #3x+4y=10# and #x−y=1#? How do I use a graph to solve the system of equations #c+3d=8# and #c=4d−6#? How do I use a graph to solve the system of equations #y=2x+1# and #2y=4x+2#? How do I use a graph to solve the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#? How do I use a graph to solve the solution of the system of equations #y=−2x+4# and #y=−2x−3#? How do I use a graph to solve the solution of the system of equations #y=−2x−4# and #y+4=−2x#? Are there systems of equations that cannot be solved graphically? How do you prove graphically that there are no/two solutions to #x^2 + y^2 = 1 and x+ y = sqrt 2 +-1/2#? See all questions in Solving Graphically Impact of this question 2187 views around the world You can reuse this answer Creative Commons License