The pair of equations 5x - 15y = 8 and 3x - 9 | vedclass

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

Question

(A) Given equations are:$5x - 15y = 8$  --- $(1)$$3x - 9y = \frac{24}{5}$  --- $(2)$Comparing these with the standard form $a_1x + b_1y = c_1$ and $a_

Vedclass · Accepted Answer

infinitely many solutions

Vedclass · Answer

(A) Given equations are:$5x - 15y = 8$  --- $(1)$$3x - 9y = \frac{24}{5}$  --- $(2)$Comparing these with the standard form $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$:$a_1 = 5, b_1 = -15, c_1 = 8$$a_2 = 3, b_2 = -9, c_2 = \frac{24}{5}$Now,calculate the ratios:$\frac{a_1}{a_2} = \frac{5}{3}$$\frac{b_1}{b_2} = \frac{-15}{-9} = \frac{5}{3}$$\frac{c_1}{c_2} = \frac{8}{24/5} = \frac{8 	imes 5}{24} = \frac{40}{24} = \frac{5}{3}$Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} = \frac{5}{3}$,the lines are coincident.Therefore,the pair of equations has infinitely many solutions.

The pair of equations $5x - 15y = 8$ and $3x - 9y = \frac{24}{5}$ has

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.

Solve the following pairs of equations by the cross-multiplication method:
$4x + 6y = 11$
$5x - 8y = 6$

............ is not a linear equation in two variables.

Solve the following pair of linear equations by the elimination method and the substitution method:
$3x - 5y - 4 = 0$ and $9x = 2y + 7$

The cost of $5$ pants and $8$ shirts is ₹ $3100$. If the cost of a pant is ₹ $x$ and a shirt is ₹ $y$,then the linear equation in two variables is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module