The pair of equations x + 2y + 5 = 0 and -3x | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given,the equations are $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$.Comparing these with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y +

Vedclass · Accepted Answer

no solution

Vedclass · Answer

(D) Given,the equations are $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$.Comparing these with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$,we get:$a_1 = 1, b_1 = 2, c_1 = 5$$a_2 = -3, b_2 = -6, c_2 = 1$Now,calculating the ratios:$\frac{a_1}{a_2} = \frac{1}{-3} = -\frac{1}{3}$$\frac{b_1}{b_2} = \frac{2}{-6} = -\frac{1}{3}$$\frac{c_1}{c_2} = \frac{5}{1} = 5$Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$,the lines represented by these equations are parallel.Therefore,the pair of equations has no solution.

The pair of equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ have

Similar Questions

After $x$ years,the sum of the ages of Sachin and Sehwag will be $y$ years,then the sum of the ages before $3$ years was $\ldots \ldots \ldots \ldots$ years.

The total cost of $7$ pens and $5$ pencils is Rs. $50$,and the total cost of $5$ pens and $7$ pencils is Rs. $46$. Represent this as a pair of linear equations in two variables.

The value of $c$ for which the pair of equations $cx - y = 2$ and $6x - 2y = 3$ will have infinitely many solutions is

The length of a rectangle is five less than thrice its breadth. The perimeter of a rectangle is $110$. If we take $l$ as length and $b$ as breadth,then which of the following equations represents the relationship between length and breadth?

If $7x - 9y = 25$ and $9x - 7y = 23$,then $x + y = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module