Solve the following pairs of equations by the | vedclass

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

Question

(D) The given equations are:$4x + 6y - 11 = 0$ ... $(i)$$5x - 8y - 6 = 0$ ... $(ii)$Using the cross-multiplication method for $a_1x + b_1y + c_1 = 0$

Vedclass · Accepted Answer

$\left(2, \frac{1}{2}\right)$

Vedclass · Answer

(D) The given equations are:$4x + 6y - 11 = 0$ ... $(i)$$5x - 8y - 6 = 0$ ... $(ii)$Using the cross-multiplication method for $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$:$\frac{x}{b_1c_2 - b_2c_1} = \frac{y}{c_1a_2 - c_2a_1} = \frac{1}{a_1b_2 - a_2b_1}$Here,$a_1 = 4, b_1 = 6, c_1 = -11$ and $a_2 = 5, b_2 = -8, c_2 = -6$.$\frac{x}{(6)(-6) - (-8)(-11)} = \frac{y}{(-11)(5) - (-6)(4)} = \frac{1}{(4)(-8) - (5)(6)}$$\frac{x}{-36 - 88} = \frac{y}{-55 + 24} = \frac{1}{-32 - 30}$$\frac{x}{-124} = \frac{y}{-31} = \frac{1}{-62}$For $x$: $x = \frac{-124}{-62} = 2$For $y$: $y = \frac{-31}{-62} = \frac{1}{2}$Thus,the solution is $(x, y) = (2, \frac{1}{2})$.

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

Similar Questions

The total cost of three tables and two chairs is ₹ $3400$. The cost of two tables and three chairs is ₹ $3100$. Then the total cost of a chair and a table is ₹ ...............

Solve the following pair of linear equations by the method of elimination: $2x + 5y = 7$ and $4x + 10y = 12$.

In $\Delta ABC$,$m \angle A = x$,$m \angle B = 3x$,and $m \angle C = y$. If $3y - 5x = 30$,show that the triangle is right-angled and find the measures of all three angles.

The solution set of $2x + 3y + 5 = 0$ and $4x + 6y + 10 = 0$ is........

There are some $25$ paise coins and some $50$ paise coins in a bag. The total number of coins is $150$ and the amount in the bag is Rs. $55$. Find the number of coins of each value in the bag.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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