Common questions

How do you find the problem with fractions?

How do you find the problem with fractions?

Subtract fractions with the same denominator by subtracting the numerators. If you need to subtract fractions, they must have the same denominator, just like if you were adding them. All you have to do is subtract the smaller numerator from the larger numerator to solve the problem.

How do you solve fractions with substitution?

First clear each equation of fractions by multiplying both sides of the equation by the least common denominator. Now multiply the second equation by −1 − 1 so that we can eliminate x. Add the two equations to eliminate x and solve the resulting equation for y. Substitute y=7 y = 7 into the first equation.

How do you solve word problems leading to linear equations?

Here are some steps to follow:

  1. Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find.
  2. Translate the problem to an equation. Assign a variable (or variables) to represent the unknown.
  3. Carry out the plan and solve the problem.

What are the examples of simultaneous equation?

Here are some more examples of using substitution to solve simultaneous equations:

  • 3x + y = 13. 5x -2y = 7. The coefficient of y in Equation 1 is 1.
  • 2x + 4y = 10. 2x + y = 4. The coefficient of y in Equation 2 is 1.
  • x – 5y = 7. 2x -4y = 8.
  • 2x + 4y = 12. x + 8y = 30.
  • 2x – 4y = 10. -4x+5y = -26.
  • 6x + 2y = 10. 10x – 3y = 12.

How do you get rid of fractions in an equation?

Solve equations by clearing the Denominators

  1. Find the least common denominator of all the fractions in the equation.
  2. Multiply both sides of the equation by that LCD.
  3. Isolate the variable terms on one side, and the constant terms on the other side.
  4. Simplify both sides.

How to solve an equation with no fractions?

Now there are no fractions to clear! Subtract 1 from both sides. Simplify. Divide by 2. Simplify. Check: Let x = 0. Now you can try solving an equation that has the variable term in parentheses that are multiplied by a fraction.

What should I do if I have mixed fractions?

The first thing I would do is to convert any mixed fractions to improper fractions and then multiply one of the equations by some factor so that one of the terms is the negative of the corresponding term in the other equation.

How to find the LCD of all fractions?

Find the LCD of all the fractions in the equation. Multiply both sides by the LCD. Distribute. Simplify — no more fractions! Subtract x from both sides. Simplify. Subtract 2 from both sides. Simplify. Divide by 5. Simplify. Check: Substitute x = − 1.

How to determine if a number is a solution?

Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

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