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- Always perform the same operation to both sides of the equation. When you multiply or divide, you have to multiply and divide by the entire side of the equation. Try to perform addition and subtraction first to get some multiple of x by itself on one side. Always double check you answer by plugging it back into the original equation.
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Aug 15, 2020 · In symbols, a ⋅ x a = x. The inverse of division is multiplication. If we start with a number x and divide by a number a, then multiplying the result by the number a returns us to the original number x. In symbols, a ⋅ x a = x. Let's put these ideas to work.
We can multiply by 5 because the inverse operation of division is multiplication! Here's how multiplying by 5 on each side looks: x 5 = 7 x 5 ⋅ 5 = 7 ⋅ 5 Multiply each side by five. x = 35 Simplify. Let's check our work. x 5 = 7 35 5 =? 7 7 = 7. Yes, x = 35 is a solution! Summary of how to solve multiplication and division equations. Awesome!
One-step multiplication equations. In this math lesson, we learn to solve equations with x divided by a number, like x/3 = 14. To find x, we isolate it by multiplying both sides of the equation by the divisor (3). This gives us x = 42.
- 2 min
- Sal Khan,Monterey Institute for Technology and Education
Example: (-15) x (-3) = +45 or 45 (without a sign, means positive) Rule No. 3: A positive number multiplied by a positive number always results in a positive number. Example: (+30) x (+8) = +240 or 240 (without a sign, means positive) IV- DIVISION: 3 rules, very similar to the 3 rules of Multiplication.
- 11 min
- Sal Khan
So my solution checks, and my answer is: \boldsymbol {\color {purple} { x = \frac {50} {3} }} x = 350. You can use the Mathway widget below to practice solving a linear equation by multiplying or dividing. Try the entered exercise, or type in your own exercise. Then click the button to compare your answer to Mathway's.