Use the equation y = mx - b to find y, if m = 3, x = 6, and b = 5.

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Understand the Problem

The question asks to find the value of 'y' given the equation y = mx - b, and the values m = 3, x = 6, and b = 5. This involves substituting the given values into the equation and solving for 'y'.

Answer

$y = 13$
Answer for screen readers

$y = 13$

Steps to Solve

  1. Write down the equation We start with the given equation: $$ y = mx - b $$

  2. Substitute the given values Substitute $m = 3$, $x = 6$, and $b = 5$ into the equation: $$ y = (3)(6) - 5 $$

  3. Perform the multiplication Multiply $3$ and $6$: $$ y = 18 - 5 $$

  4. Perform the subtraction Subtract $5$ from $18$: $$ y = 13 $$

$y = 13$

More Information

The equation $y = mx - b$ is a linear equation.

Tips

A common mistake is to confuse the order of operations. Make sure to perform the multiplication before the subtraction. Also, ensure that you substitute the correct values for the corresponding variables.

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