The number of solutions for each system of two linear equations.
Zero
Solutions
One
Solution
Infinitely
Many
Solutions
2x + 2y = 3
4x + 4y = 6
7x + 5y = 8
7x + 2y = 8
-2x + 3y = 7
2x - 3y = -7

system (1) ⇒ Infinitely Many Solutions

system (2) ⇒ One Solution ⇒ ( 8/7 , 0)

system (3) ⇒ Infinitely Many Solutions

Step-by-step explanation:

A) The first system of two linear equations.

2x + 2y = 3 ⇒(1)

4x + 4y = 6 ⇒(2)

If we multiply equation (1) by 2, we will get equation (2)

So, the system in fact represents one equation.

So, The system has Infinitely Many Solutions

B) The second system of two linear equations.

7x + 5y = 8 ⇒(1)

7x + 2y = 8 ⇒(2)

By subtract (1) - (2) we will get:

5y - 2y = 0

3y = 0

y = 0

Substitute at (1)

7x + 0 = 8

x=8/7

So, The system has only One Solution ⇒( 8/7 , 0)

C) The last system of two linear equations.

-2x + 3y = 7

2x - 3y = -7

If we multiply equation (1) by -1, we will get equation (2)

So, the system in fact represents one equation.

So, The system has Infinitely Many Solutions

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140