Solving systems of equations by graphing worksheet answers

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Video lesson
How do you solve systems of equations by graphing?
How do you solve a linear system by graphing?
How do I solve the system of equations?

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A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Example

$$\left\{\begin{matrix} y=2x+2\\ y=x-1\: \: \: \end{matrix}\right.$$

Graph the equations in a coordinate plane

The two lines intersect in (-3, -4) which is the solution to this system of equations.

Video lesson

Find the solution of two equations by graphing

How do you solve systems of equations by graphing?

TO SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING..

Graph the first equation..

Graph the second equation on the same rectangular coordinate system..

Determine whether the lines intersect, are parallel, or are the same line..

Identify the solution to the system. If the lines intersect, identify the point of intersection..

How do you solve a linear system by graphing?

To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.