Solve the following pair of linear equations by the method of elimination: $0.3 x + 0.4 y = 1$ and $6 x + 8 y = 20$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Given equations are:
$1) 0.3 x + 0.4 y = 1$
$2) 6 x + 8 y = 20$
Multiply equation $(1)$ by $10$ to clear the decimals: $3 x + 4 y = 10$ (Equation $3$).
Now,multiply equation $(3)$ by $2$: $6 x + 8 y = 20$ (Equation $4$).
Comparing equation $(2)$ and equation $(4)$,we see they are identical: $6 x + 8 y = 20$.
Since both equations represent the same line,there are infinitely many solutions.
The solution set is $\{(x, y) \mid 3 x + 4 y = 10, x, y \in R \}$.

Explore More

Similar Questions

Vijay had some bananas,and he divided them into two lots $A$ and $B$. He sold the first lot at the rate of $Rs. 2$ for $3$ bananas and the second lot at the rate of $Rs. 1$ per banana,and got a total of $Rs. 400$. If he had sold the first lot at the rate of $Rs. 1$ per banana,and the second lot at the rate of $Rs. 4$ for $5$ bananas,his total collection would have been $Rs. 460$. Find the total number of bananas he had.

Difficult
View Solution

The length of a rectangle is one and a half times its breadth. If the perimeter of the rectangle is $100 \,cm$, find the length and the breadth of the rectangle.

Solve the following pair of linear equations in two variables using a graph: $x + y = 5$ and $5x - 2y = 4$.

Draw the graphs of the equations $x=3, x=5$ and $2x-y-4=0$. Also,find the area of the quadrilateral formed by these lines and the $x$-axis.

Difficult
View Solution

Places $A$ and $B$ are $90\, km$ apart from each other on a highway. $A$ car starts from $A$ and another from $B$ at the same time. If they move in the same direction,they meet in $9$ hours and if they move in opposite directions,they meet in $\frac{9}{7}$ hours. Find the speeds of the cars.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo