Solve the simultaneous equations 2x + 3y =10?

2x + 3y = 10
4x - y = -1

You have two lines. They look like this:
www.wolframalpha.com/input/?i=plot+2x+%2B+3y+%3D+10,+4x+-+y+%3D+-1

Where they cross, the values of x and y satisfy both equations simultaneously, so it is called a simultaneous system. There are two ways to find that point. Substitution is when you solve one equation for one variable and substitute that into the other equation.

4x - y = -1
4x + 1 = y

Substituting:
2x + 3(4x + 1) = 10
2x + 12x + 3 = 10
14x = 7
x = 1/2

Put that into either equation to find y.

2(1/2) + 3y = 10
1 + 3y = 10
3y = 9
y = 3

Elimination is when you add the equations in a way to eliminate one variable. Otherwise the process is the same.

2x + 3y = 10
12x - 3y = -3
------------------ ADD
14x .... = 7 <-- SAME ANSWER