Chapter 3: Q16. (page 146)

Solve the system of equations by graphing.
$\begin{matrix} 2 x - 3 y = 9 \\ 4 x + 2 y = - 22 \end{matrix}$

Short Answer

Expert verified

The solution of the equation is $x = - 3$ and $y = - 5$ .

Step by step solution

Step-1 – Concept of solution of linear equations

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

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 equations.

Step-3 – Evaluation of points

The given linear equation is $2 x - 3 y = 9$ and $4 x + 2 y = - 22$ .

The point which satisfies the equation $2 x - 3 y = 9$ are $(0, - 3)$ and $(4.5, 0)$ .

The point which satisfies the equation $4 x + 2 y = - 22$ are $(0, - 11)$ and $(- 5.5, 0)$ .

Step-4 –Plotting the graph

The two linear equations intersect at $(- 3, - 5)$ in the graph.

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Solve the system of equations by graphing.
$\begin{matrix} 2 x - 3 y = 9 \\ 4 x + 2 y = - 22 \end{matrix}$

Short Answer

Step by step solution

Step-1 – Concept of solution of linear equations

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

Step-3 – Evaluation of points

Step-4 –Plotting the graph

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Solve the system of equations by graphing.2x-3y=94x+2y=-22

Short Answer

Step by step solution

Step-1 – Concept of solution of linear equations

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

Step-3 – Evaluation of points

Step-4 –Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve the system of equations by graphing.
$\begin{matrix} 2 x - 3 y = 9 \\ 4 x + 2 y = - 22 \end{matrix}$