Question

Describe the nature of the solution of the system 3x - 4y=0, 5x +y = 5.​

Answer 1

Answer:

so sorry I don't know how to solve this type of questions so sorry

Answer 2

Answer:

The system of equations is consistent and have a unique solution i.e, x = 20/24 and y = 15/23

Step-by-step explanation:

the given equations are 3x - 4y = 0

and 5x + y = 5

in a system of equations if a1/a2 = b1/b2 = c1/c2, then the system is consistent and have infinitely many solutions

if a1/a2 ≠ b1/b2  then the system of equations is consistent and have a unique solution.

if a1/a2 = b1/b2 ≠ c1/c2 then the system of equations is inconsistent and no solutions.

here a1/a2 ≠ b1/b2 that is $\frac{3}{5}$ ≠ $\frac{4}{1}$

therefore the system is consistent and have unique solution.

the graph of such a system will intersect at one point which is x= 20/23 and y = 15/23