# Write as a Linear Equation Worksheets

How to Write Linear Systems as a Linear Equation? When two or more equations work together, it is known as a system of linear equation. Together they are a system of linear equations.
-x + y = 3
2x + y = 5
Formula for Linear Equation: Ax + By=C Let us solve the following,
x + y = 6
-3x + y = 2
Our mission is to find where the two lines cross using Algebra There are many ways to solve this equation but since we have "y" in both equations so let's try subtracting the whole second equation from the first: x + y - (-3x + y) = 6 - 2
Now simplify it: x + y + 3x - y = 6 - 2
4x = 4, x = 1. So now we know the lines cross at x=1. Now find the matching value of ‘y’ using either of the two original equations since we are already aware of them having the same value at x = 1. Using equation 1: x + y = 6, 1 + y = 6, y = 5. And the solution is x = 1 and y = 5.
Here are some steps you need to follow: 1.Try understanding the problem. Understand what has been asked. 2. To make it easier translate the problem to an equation. Maybe try assigning one or more variables to represent the unknown. 3. Carry out the plan and then solve the problem.

• ### Basic Lesson

Guides students through writing matrices as linear equations. Write the system of linear equations represented by each matrix equation. Step 1: Multiply the first row of the first matrix with the column of the second matrix and equate it to the first element of the last matrix to obtain the first equation.

• ### Intermediate Lesson

Demonstrates a step-by-step method for converting matrices to linear equations. Step 2: Multiply the second row of the first matrix with the column of the second matrix and equate it to the second element of the last matrix to obtain the second equation.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Write as a Linear Equation. Step 3: Multiply the third row of the first matrix with the column of the second matrix and equate it to the third element of the last matrix to obtain the third equation.

• ### Independent Practice 2

Students find the Write as a Linear Equation in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Write as a Linear Equation.

• ### Skill Quiz

This tests the students ability to evaluate Write as a Linear Equation.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.