Answer:
x = 4, y = 1
Explanation:
To do these:
- Solve one of the equations for one of the variables.
- Substitute that expression into the other equation.
- Find what that variable equals. It'll be a number.
- Put that number into either equation to find the other variable.
It doesn't matter which equation or variable you choose, but looking at those two equations, the second one is a little easier to solve for x:
x - 2y = 2 becomes: x = 2y + 2
We then take this expression for x and plug it into the other equation where x is. So the other equation is:
2x - y = 7
And if I put in that expression for x it becomes:
2(2y + 2) - y = 7
Dd you understand that step? Because it's super-important. Where x was, I simply put what we found that x was the same as from the other equation.
And now look: there are only y terms, so we can solve for y:
4y + 4 - y = 7
3y = 3
y = 1
Now that we know what y is, we just put it into either equation and solve for x. It's a bit easier to use this equation:
2x - y = 7 Substitute y = 1 to get:
2x - 1 = 7
2x = 8
x = 4
You can check that answer is correct by plugging (1,4) into the other equation:
x - 2y = 2
4 - 2(1) = 2
4 - 2 = 2
2 = 2 So the answer works there too.