Question

A linear equation 4x + 5y =-13 is given. Write another linear
equation so that these two equations have no solution.
​

Answer 1

Answer:

the answer is 4x +5y+13. so simple

Answer 2

SOLUTION

GIVEN

A linear equation 4x + 5y =-13 is given.

TO DETERMINE

Write another linear equation so that these two equations have no solution.

CONCEPT TO BE IMPLEMENTED

A pair of Straight Lines

$\displaystyle \sf{ a_1x+b_1y+c_1=0 \: \: and \: \: \: a_2x+b_2y+c_2=0}$

is said to have no solution if

$\displaystyle \sf{ \: \frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \: \frac{c_1}{c_2}}$

EVALUATION

Here the given linear equation is

4x + 5y = - 13

If we take another linear equation as

4x + 5y = 12

Then $\displaystyle \sf{ \: \frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \: \frac{c_1}{c_2}}$

So that the pair of linear equations have no solution

FINAL ANSWER

Hence another linear equation so that these two equations have no solution is

4x + 5y = 12

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