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# Common Core Algebra 1 Unit 5 Lesson 1 Homework Answers

## Common Core Algebra 1 Unit 5 Lesson 1 Homework Answers

If you are looking for homework answers for the Common Core Algebra 1 Unit 5 Lesson 1, you have come to the right place. In this lesson, you will learn how to solve systems of linear equations by graphing. A system of linear equations is a set of two or more equations that have the same variables. To solve a system by graphing, you need to plot the graphs of each equation on the same coordinate plane and find the point where they intersect. The coordinates of the intersection point are the solution of the system.

For example, consider the following system of linear equations:

y = 2x + 3 y = -x - 1

To graph these equations, you need to find two points for each equation and draw a line through them. You can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept, to find the points easily. For example, for the first equation, y = 2x + 3, the slope is 2 and the y-intercept is 3. This means that the line crosses the y-axis at (0,3) and goes up two units and right one unit for every point on the line. So another point on the line is (1,5). Similarly, for the second equation, y = -x - 1, the slope is -1 and the y-intercept is -1. This means that the line crosses the y-axis at (0,-1) and goes down one unit and right one unit for every point on the line. So another point on the line is (1,-2). Here is how the graphs look like:

As you can see, the two lines intersect at (2,7). This means that x = 2 and y = 7 are the solutions of the system. You can check this by plugging these values into both equations and verifying that they are true.

Now that you know how to solve systems of linear equations by graphing, you can try some homework problems from your textbook or online resources. Here are some links that might help you:

• [Algebra 1 Common Core - 1st Edition - Solutions and Answers]: This website provides step-by-step solutions and answers to all exercises in your textbook.

• [Unit 5 Systems of Linear Equations and Inequalities]: This website provides video lessons, practice problems, and answer keys for this unit.

• [Solving Systems of Equations by Graphing]: This website provides interactive examples, worksheets, and quizzes on solving systems of equations by graphing.