Question

cost of 1 pen is rs x and that of 1 pencil is rs y cost of 2 pens and 3 pencil together is rs 18 write a linear equation which satisfies this data data the graph for the same

Answer 1

Answer:

Step-by-step explanation:

Cost of pen =x

Cost of 2pens = 2x

Cost of pencil = y

Cost of 3 pencils =3y

According to question.

2x + 3y = 18.(required linear equation)

Answer 2

Answer:

Thus, required linear equation is $2x + 3y = 18$ and the graph is attached below.

Step-by-step explanation:

Concept:

A linear equation is an algebraic equation with each term having an exponent of one, and a straight line is produced when the equation is graphed. A linear equation in two variables is any equation that can be indicated in the form of $ax + by + c = 0$, where $a, b,$ and $c$ are real values and $a$ and $b$ are not equal to zero.

Given:

One pen costs Rs $x$, one pencil costs Rs $y$, while two pens and three pencils cost Rs $18$.

To find:

The graph for these data must be satisfied by a linear equation, which must be written.

Solution:

The cost of pen $=x$

The cost of two pens $= 2x$

The cost of pencil $= y$

The cost of three pencils $=3y$

The cost of all things together $=18$

As per given in the question the linear equation is,

$2x + 3y = 18$

The graph that represents it is attached below:

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