the sum of 2 numbers is 74. The larger number is 3 more than the smaller. find the numbers

Question

anonymous · Answer

x + (x + 3) = 74
2x + 3 = 74
2x = 71
x = 35.5
35.5 + 3 = 38.5
The two numbers are 35.5 and 38.5

anonymous · Answer

yes i know but im supposed to solve the equation with 2 variables

anonymous · Answer

Ok, how about
x + y = 74
y = x + 3

Then just substitute the x + 3 in for y.

anonymous · Answer

how did you get that

anonymous · Answer

Basically, you use substitution. Instead of x + 3, you use y. Then, put in another equation that solves for y which is given to you. THis forms a system of linear equations. It's just adding in another system of equations.