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Chapter 3: Q15. (page 146)

Solve the system of equations by graphing.

x+y=52x-y=4

Short Answer

Expert verified

The solution of the equation isx=3,y=2.

Step by step solution

01

Step-1 – Concept of solution of linear equations

The solution of the equations is the point where the two lines intersect in the graph.

02

Step-2 – Concept of plotting the graph of linear equation

The linear equation can be plotted in the graph by taking at least two points which satisfies the linear equation.

03

Step-3 – Evaluation of points

The given linear equations are x+y=5and 2x-y=4

The point which satisfies the equation x+y=5are (0,5)and(5,0).

The point which satisfies the equation 2x-y=4are (2,0)and(0,-4).

04

Step-4 –Plotting the graph

The two linear equations intersect at (3,2)in the graph.

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