Linear Equations

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How to Solve Simple Linear Equations in Algebra

Solving linear equations in algebra is done with multiplication, division, or reciprocals. Using reciprocals, or multiplicative inverse, as well as multiplying and dividing with certain formulas, you can [more…]

How to Solve Linear Equations with Division

A basic method for solving linear equations is to divide each side of the equation by the same number. Many formulas and equations include a coefficient, or multiplier, with the variable. To get rid of [more…]

How to Solve Linear Equations with Multiplication

To solve linear equations with multiplication, first determine that division is being used in the linear equation. Multiplication is the inverse (opposite) operation of division, so you can use multiplication [more…]

How to Solve Linear Equations with Both Multiplication and Division

Often, you need to use both multiplication and division to solve a linear equation. When a linear equation uses both multiplication and division, solve by using the inverse operation of each. So, if a [more…]

How to Solve Linear Equations with Reciprocals

Use the reciprocal of the number that you’re trying to “get rid of” if a fraction is multiplying the variable. Solve linear equations with reciprocals when you see a fraction — it's easier than using multiplication [more…]

Cramer’s Rule for Linear Algebra

Named for Gabriel Cramer, Cramer’s Rule provides a solution for a system of two linear algebraic equations in terms of determinants — the numbers associated with a specific, square matrix. [more…]