3x + 2y = 11 y = 5x-1 For this case, the first thing you should do is replace the value of y in the first equation. We have then: 3x + 2 (5x-1) = 11 We rewrite: 3x + 10x-2 = 11 3x + 10x = 11 + 2 3x + 10x = 13 We clear x: 13x = 13 x = 13/13 x = 1 We now substitute the value of x in expression 2: y = 5 (1) -1 y = 5-1 y = 4
Answer: The solution to the system of equations is: x = 1 y = 4
