Solve the following pair of linear equations | vedclass

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

Question

(B) Given the equations: $1) \ 2x + 3y = 12$ $2) \ 2x + 3y = 6$ Comparing these equations with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b

Vedclass · Accepted Answer

$\varnothing$ (No solution)

Vedclass · Answer

(B) Given the equations: $1) \ 2x + 3y = 12$ $2) \ 2x + 3y = 6$ Comparing these equations with the standard form $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$,we have: $a_1 = 2, b_1 = 3, c_1 = -12$ $a_2 = 2, b_2 = 3, c_2 = -6$ Calculating the ratios: $\frac{a_1}{a_2} = \frac{2}{2} = 1$ $\frac{b_1}{b_2} = \frac{3}{3} = 1$ $\frac{c_1}{c_2} = \frac{-12}{-6} = 2$ Since $\frac{a_1}{a_2} = \frac{b_1}{b_2} 
eq \frac{c_1}{c_2}$,the lines are parallel to each other. Parallel lines do not intersect at any point,which means the system of equations has no solution. Therefore,the solution set is $\varnothing$.

Solve the following pair of linear equations in two variables graphically: $2x + 3y = 12$ and $2x + 3y = 6$.

Similar Questions

$y$ years ago,the sum of the ages of five friends was $x$ years,then the sum of the present ages of them is $\ldots \ldots \ldots \ldots$ years.

The pair of equations $2x + y - 4 = 0$ and $x + 2y - 5 = 0$ has........

Solve the following pair of linear equations by the cross-multiplication method:
$3x + y = 7$
$2x + 3y = 14$

Solve the following pair of linear equations in two variables using a graph: $3x + 6y = 4$ and $2x + 4y = \frac{8}{3}$.

If $2x + y = 5$ and $y - 1 = 0$,then the value of $x$ is ............

Vedclass Test Series

Exam Paper Generator

Online Exam Module