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Solve each equation. Then check the result.$$-\frac{9}{8} x=3$$
$$-\frac{8}{3}$$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 1
Solving Equations Using Properties of Equality
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Missouri State University
Campbell University
Oregon State University
Harvey Mudd College
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solve the equation, then check the solution. Negative. 9/8 X is equal to three. To isolate the variable, multiply both sides of the equation by the reciprocal of negative 9/8 the reciprocal of negative 9/8 is negative. 8/9. Let's use a multiplication shortcut to simplify the product. Three and nine are both divisible by three. X is equal to negative eight. Divided by three or negative 8/3. To check your solution, substitute negative 8/3 into the original equation for X and see if it's a true statement. Negative 9/8 times negative 8/3 Is that equal two Positive three. Canceling common factors. We have eight Divided by eight is one. Which leaves us negative nine times negative one is positive. Nine. Divided by one times three is three nine divided by three is three three equals three. Therefore, the solution is X equals negative 8/3
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