3x + 2y = 8To solve P amount of variables, you need P equations. (e.g., for this problem you'd need two equations to actually solve for it.) However, with that said, there are an infinite amount of solutions that "work".First, solve for one of the variables. People are typically use to y=... form so:3x + 2y = 82y = 8 - 3xy = (1/2)(8-3x)y = 4-(3/2)x
x = 59y = 23Let:x = the first numbery = the second numberx + y = 82 -- equation (1)x - y = 36 --- equation (2)By Elimination:x + y = 82x - y = 36=========2x = 118 2x/2 = 118/2x = 59x + y = 82y = 82 - xy = 82 - 59y = 23check:x - y = 3959 - 23 = 3636 = 36Let x = 1st numberlet y = 2nd numberX + Y = 82X - Y = 36add above equations2X = 118X = 59Y = 23
Multiplying out the brackets it is equivalent to: -82y+123
82y 16x are both not equal to the given expression.
8
3x + 2y = 8To solve P amount of variables, you need P equations. (e.g., for this problem you'd need two equations to actually solve for it.) However, with that said, there are an infinite amount of solutions that "work".First, solve for one of the variables. People are typically use to y=... form so:3x + 2y = 82y = 8 - 3xy = (1/2)(8-3x)y = 4-(3/2)x
x = 59y = 23Let:x = the first numbery = the second numberx + y = 82 -- equation (1)x - y = 36 --- equation (2)By Elimination:x + y = 82x - y = 36=========2x = 118 2x/2 = 118/2x = 59x + y = 82y = 82 - xy = 82 - 59y = 23check:x - y = 3959 - 23 = 3636 = 36Let x = 1st numberlet y = 2nd numberX + Y = 82X - Y = 36add above equations2X = 118X = 59Y = 23