How do I use a graph to solve the system of equations #4x+3y=7# and #3x+5y=8#?

Question

2166 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-23T20:02:20

enter image source here

#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)#