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Name Date 5.5 Solving Equations by Graphing For use with Exploration 5.5 Essential Question How can you use a system of linear equations to solve an equation with variables on both sides? 1 EXPLORATION:

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How to fill out solving equations by graphing

How to fill out solving equations by graphing:

01

Start by writing the given equation in the form y = f(x). This will help you understand the relationship between the variables x and y.

02

Choose a set of values for x and calculate the corresponding values for y using the equation. Plot these points on a graph.

03

Connect the plotted points with a straight line or curve. The shape of the graph will depend on the equation and its variables.

04

Identify the x-intercepts and y-intercepts on the graph. These points represent the values of x and y when the equation is equal to zero.

05

Use the graph to find the solutions to the equation. The solutions are the x-values where the graph intersects the x-axis. You can estimate these values by looking at the graph.

06

Check your solutions by substituting them back into the original equation. If the equation is satisfied, then your solutions are correct.

Who needs solving equations by graphing?

01

Students studying algebra or pre-calculus often learn how to solve equations by graphing as it is an essential skill in these subjects. It helps students visualize the solutions to equations and understand the relationship between variables.

02

Engineers and scientists may use graphing to solve equations in their respective fields. Graphs can provide important insights into real-world phenomena and help in making predictions or decisions based on data.

03

Mathematicians and researchers often use graphing techniques to analyze and solve complex equations. Graphs can represent intricate mathematical relationships and provide a visual representation of abstract concepts.

04

Anyone looking to understand the behavior of variables in equations can benefit from solving equations by graphing. It allows for a visual interpretation of the solutions and facilitates a deeper understanding of the underlying mathematical concepts.

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What is solving equations by graphing?

Solving equations by graphing is a method of finding the solutions to an equation by plotting the equations on a graph and determining the points of intersection.

Who is required to file solving equations by graphing?

Solving equations by graphing is typically completed by students studying algebra or calculus.

How to fill out solving equations by graphing?

To fill out solving equations by graphing, one must first graph the equations on a coordinate plane and then identify the points of intersection.

What is the purpose of solving equations by graphing?

The purpose of solving equations by graphing is to visually represent the solutions to an equation and to determine where the lines intersect.

What information must be reported on solving equations by graphing?

The information reported on solving equations by graphing includes the equations being solved and the points of intersection.

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