Question

the number of solutions, the equation 3x+5y+15=0 can have
1.one only
2.exactly two
3.no solution
4.infinite
explain​

Answer 1

Answer:

infinite solutions we have for this equation

if x= 0

5y = -15

y = -3

if x = 1

you will get different y value

such a u can get infinite number of solutions

Answer 2

4) The given equation have infinite solution

Step-by-step explanation:

Given : linear equation in two variables $3x+5y+15=10$

Now For finding the solutions

Let

x= 0

$3\times 0 +5y=-15\\\\\Rightarrow 5y=-15\\\\\Rightarrow y =-3$

Therefore (0,-3) is a solution

Now put x = 1 we get

$3\times 1 +5y=-15\\\\\Rightarrow 5y=-15-3\\\\\Rightarrow 5y =-18\\\\\Rightarrow y =\dfrac{-18}{5}$

Therefore $(1,\dfrac{-18}{5} )$ is also a solution

Continuing in this manner by putting the values of  x we will get the value of y . Therefore for each distinct value of x there exist a value of y

Hence, the given equation have infinite solution

#Learn more

Write any two solution of the equation 3x-y=10

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