Question

Determine graphically wheather the following pair of linear equations 3x-y=7 ; 2x+5y+1=0 has .a. unique solution b.. infinitely many solution c. No solution..

Answer 1

Answer:

it has unique solution the graph intersect at point it help you in plot graph

Answer 2

Option A) Unique Solution

Step-by-step explanation:

We are given the following equation:

$3x-y=7\\2x+5y+1=0$

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:

$(3x-y)\times 5 + 2x + 5y=(7)5 + (-1)\\15x - 5y + 2x + 5y =35 -1\\17x = 34\\\Rightarrow x = 2\\3(2) - y = 7\\\Rightarrow y = -1$

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

Thus, the correct answer is

Option A) Unique Solution

#LearnMore

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​

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