Example:
y = 2x + 1 is a linear equation:
- When x increases, y increases twice as fast, so we need 2x
- When x is 0, y is already 1. So +1 is also needed
- And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
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Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
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Misunderstood.
One tenth is 0.1. If you divide by it you multiply by 10. If you want one tenth of something, you multiply that something by one tenth, that is by 0.1.
One tenth of 47.3 is 47.3 * 0.1 = 4.73. Dividing 47.3 by one tenth you get 473.