Question

Graphically, find whether the following pair of equations has no solution, unique solution or infinitely
many solutions. 5x – 8y + 1 = 0, 3x-24/5y+3/5=0​

Answer 1

Answer:

unique this answer is 13/40

Answer 2

Answer is as follows:

Option A) Unique Solution

Step-by-step explanation:

We are given the following equation:

\begin{gathered}3x-y=7\\2x+5y+1=0\end{gathered}

3x−y=7

2x+5y+1=0

Plotting the graph, we get that the two equations have a unique solution as the two line intersect each other at a unique point.

The attached image shows the unique solution. The black line is plot for 3x-y=7 and the green line is the plot for 2x+5y+1=0.

Solving the equations:

\begin{gathered}(3x-y)\times 5 + 2x + 5y=(7)5 + (-1)\\15x - 5y + 2x + 5y =35 -1\\17x = 34\\\Rightarrow x = 2\\3(2) - y = 7\\\Rightarrow y = -1\end{gathered}

(3x−y)×5+2x+5y=(7)5+(−1)

15x−5y+2x+5y=35−1

17x=34

⇒x=2

3(2)−y=7

⇒y=−1

Thus, the unique solution is (2,-1).

Thus, the correct answer is

Option A) Unique Solution