Answer: x = 7, y = -3
Explanation:
3y = 26 - 5x --> added 5x to both sides to get: 5x + 3y = 26
Elimination method (I am going to eliminate "x":
5x + 3y = 26 → 6(5x + 3y = 26) → 30x + 18y = 156
6x + 7y = 21 → -5(6x + 7y = 21) → -30x - 35y = -105
-17y = 51
÷-17 ÷-17
y = -3
Now, input y = -3 into one of the original equations to solve for "x":
3y = 26 - 5x
3(-3) = 26 - 5x
-9 = 26 - 5x
-9 -26 = -5x
-35 = -5x
7 = x