Question

is 3x - 4y + 12 = 0 a linear equation in two variables ?!​

Answer 1

Answer:

From the question, we can see that 3x-4y =12 is an equation of two variables x and y. So, to find different points that lies on that line we have to assume anyone variable with some constant and then we will find the value of another variable.

At first, we will find different values of x by assuming the different values of y.

Let us assume that y=0.

Now, put y=0, in equation 3x – 4y =12 to find x.

⇒3x−4(0)=12

⇒3x=12

∴x=4

Now, let us assume that y=3.

Now, put y=3 in the equation 3x – 4y =12 to find x.

⇒3x−4(3)=12

⇒3x=24

∴x=8

Now, let us assume that y=-3

⇒3x−4(−3)=12

⇒3x=0

∴x=0

Now,

x 4 8 0

y 0 3 -3

Now, we will plot all the above points on the graph and join these points using a single line, then we will get our required graph.

This is our required graph of the equation 3x-4y=12.

Now, we have to check whether x=4 and y=2 is the solution of the above line 3x-4y=12 or not.

It means indirectly that we have to check whether a point (4,2) lies on the above-plotted line or not.

So, now we will plot the point (4,2) on the same above graph.

From the graph, we can see that point (4, 2) lies above the line 3x-4y=12.and not on the line we have plotted.

Hence, we can say that x=4 and y=2 are not solutions to the above graph.

Step-by-step explanation:

do you want graphs??

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study well dear

Answer 2

SOLUTION

TO CHECK

Is 3x - 4y + 12 = 0 a linear equation in two variables

CONCEPT TO BE IMPLEMENTED

Linear Equation

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

REASON BEHIND THE NAME

If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.

EVALUATION

Here the given equation is

3x - 4y + 12 = 0

The variables are x and y

Now the equation is consisting of variables and constants and equality sign in which each term has an exponent of one

So 3x - 4y + 12 = 0 is a linear equation

FINAL ANSWER

Yes , 3x - 4y + 12 = 0 is a linear equation

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