Imagine these two lines crossing - their meeting point tells us x and y! Just set the equations equal (-x+5 = 2x-1) and solve (x=2). Then plug x back into either equation (y=-2+5=3 or y=2(2)-1=3) to find y too! Both roads lead to the same answer: x = 2, y = 3.
To find x and y in this system of equations, we need to set them equal to each other since they represent the same y value for different x values. Here's how:
1. Set the equations equal: -x + 5 = 2x - 1
2. Combine like terms: -3x + 5 = -1
3. Subtract 5 from both sides: -3x = -6
4. Divide both sides by -3: x = 2
Now that we know x = 2, we can plug it back into either equation to find y:
- Using the first equation: y = -2 + 5 = 3
- Using the second equation: y = 2(2) - 1 = 4 - 1 = 3
Therefore, the solution is x = 2 and y = 3.
Remember, you can choose which equation to use to find y after finding x, as they both represent the same y value for the given x.