how do you solve: x+y=3
solve it for what?
solve for y
subtract x from each side.
y=3-x
but what if it is::: x+y<3
solve for y
Then y<3-x
To solve the equation x + y = 3, you need to find the values of x and y that satisfy the equation. Here's how you can solve it:
1. Keep x and y on one side: Subtract y from both sides of the equation to isolate x. This gives you x = 3 - y.
2. Substitute the value of x: Replace x in the equation with 3 - y. The equation now becomes (3 - y) + y = 3.
3. Simplify and solve for y: Distribute the negative sign by changing the signs of both terms within the parentheses. The equation becomes 3 - y + y = 3. The y terms cancel out, leaving you with 3 = 3.
4. Analyze the equation: In this case, 3 = 3 is a true statement, which means that the equation is satisfied regardless of the value of y. This indicates that the equation has infinitely many solutions.
Hence, any combination of x and y that satisfies the equation x + y = 3 is a solution. For example, (1, 2) or (2, 1) are valid solutions since 1 + 2 = 3 and 2 + 1 = 3.