That's also known as the addition method. x + y = 40 .08x+.03y=1.7 We need to multiply the top equation by either a -.08 or a -.03 to eliminate one of the variables. Let's get rid of the y: -.03(x + y) = -.03(40) which gives us
-.03x - .03y = -1.2 .08x + .03y = 1.7 When we add those together we are left with .05x = .5 and x = 10. If we sub that 10 in for x into the first equation (either would have worked but the first one is way easier to work with!) we get 10 + y = 40 and y = 30. So the solution to the system is (10, 30)
