Answer

Verified

415.8k+ views

**Hint:**For each question you need to solve for two points as here you have two equations therefore number of points for pointing the graph will be $4.$

For equation $\left( 1 \right)$ firstly put $x=0$ and then $y=0$ for graphing the points. For classifying the system, focus on the number of solutions i.e. one solution, an infinite number of solutions, no solution. System of equations can be classified by the number of solutions. No solution, a system of equations can be classified by number of solutions. If a consistent system has exactly one solution therefore this type of system is called an independent consistent system.

**Complete step by step solution:**As we know that, given two equations are $3x-y=3\ \text{and}\ \text{2x+y=2}$

Here, you have to solve for two points for each equation,

Equation no:-$1$ i.e. $3x-y=3...\left( 1 \right)$

Solve for the first point.

Let $x=0$ in equation no:- $1$

$3\left( 0 \right)-y=3$

$0-y=3$

$-y=3-0$

$-y=3$

$y=-3$

Or $\left( 0,-3 \right)$

For second point,

For $y=0$ in equation no:-$1,$

$3x-0=3$

$3x=3$

$x=\dfrac{3}{3}$

$x=1$

Or $\left( 1,0 \right)$

For

Graph, $\left\{ \left( 3x-y-3 \right) \right\}\ \left\{ {{x}^{2}}+{{\left( y+3 \right)}^{2}} \right\}-\left\{ {{\left( x-1 \right)}^{2}}+y-0.075 \right\}=0$

$\left[ -20,20,-10,10 \right]$

$2x+y=2\ .....\left( 2 \right)$

Here some for the first point in ${{2}^{\text{nd}}}$ equation

Let $x=$$0$, in equation no:- $2$

$2\times 0+y=2$

$0+y=2$

$\therefore y=2$

Or it can also be written as co$.21$

Let $y=0$ in equation no:-$2$

$2x+0=2$

$2x=2$

$x=2$

$\therefore x=1\ \text{or}\ \left( 1,0 \right)$

Graph $\left\{ \left( 2x+y-2 \right)\left( 3x-y-3 \right)\left( {{x}^{2}}+{{\left( y-2 \right)}^{2}} \right)-0.075.{{\left( x-1 \right)}^{2}}+{{y}^{2}}-0.075 \right\}$

$=0\left[ -20,20,-10,10 \right]$

You can see the points across at $\left( 1,0 \right)$

Graph $\left\{ \left( 2x+y-2 \right)\left( 3x-y-3 \right){{\left( x-1 \right)}^{2}}+{{y}^{2}}-0.05 \right\}$

$=0\left[ -10,10,-5,5 \right]$

$\Rightarrow $ classify the system.

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. System of equations can be classified by the number of solutions. If a system has at least one solution. It is said to be consistent. The system has exactly one solution, it is independent.

**Additional Information:**

It is possible for a system of equations to have no solution because a point on a coordinate graph because a point on a coordinate graph to solve the equation may not exist. This concept may seem hard to understand at first, but if you think about it, it comes easily.

The only way this can happen if there is no intersection point, as this point would answer. And of course, if there is no intersection, then the lines are parallel.

For example:-

$y=4x+19$

$y=4x+7$

Here, the slopes are the same, so the lines are parallel and never merest. That being said. There is no solution to this problem.

**Note:**

As there are two equations given in the problem you have to solve for plotting the graph.

First take equation No.$1.$ And take $x=0$ for finding first point and take $y=0$ or finding second point as you take $x=0$ you will get y points and for $y=0$ you will get $x=0$ points.

Remember that if a system has at least one solution, it is said to be consistent.

If a consistent system has exactly one solution. It is called an independent consistent system.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

The states of India which do not have an International class 10 social science CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

How do you graph the function fx 4x class 9 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

Name the three parallel ranges of the Himalayas Describe class 9 social science CBSE