Solve by elimination.
Equations:
2x + 5y = 17
6x - 5y = -9
First step is to look for anything that can be "eliminated from both equations. In this case the first equation has a +5y and the second equation has a -5y so these are eliminated. You are now left with:
2x = 17
6x = -9
Now in order to make one equations you add down so:
2x + 6x = 8x
17 + -9 = 8
So the new equation is:
8x = 8
Now divide both sides by 8 to get x.
x = 1
Now since there were only 2 variables to start with and you just solved for one, plug in the value of the variable you just found into either original equation and solve for the remaining variable.
2x + 5y = 17; x = 1
2(1) + 5y = 17 Here I plugged the value of x into the equation, then subtract the 2.
5y = 15 Divide both sides by 5.
y = 3
So now you know:
x = 1
y = 3
Hope this helped.