Question

Choose the system of equations which matches the following graph:

A. 3x + 5y = −25
x − 5y = 5

B. 3x + 5y = −25
x + 5y = −5

C. 3x − 5y = 25
x + 5y = −5

D. 3x − 5y = 25
x − 5y = 5

Answer 1

The upper line is x+5y=-5y
The bottom line is 3x-5y=25
then it is answer C

Answer 2

Answer with Step-by-step explanation:

As we can clearly see the two lines meet at (5,-2)

i.e. the solution of the system of equations is (5,-2)

i.e. the system of equation must satisfy y= -2 when x=5

A. 3x + 5y = −25

x − 5y = 5

Putting x=5 in x − 5y = 5

⇒ 5-5y=5

⇒ y=0

B. 3x + 5y = −25

x + 5y = −5

Putting x=5 in 3x + 5y = −25

⇒15+5y=-25

⇒ 5y= -40

⇒ y= -8

C. 3x − 5y = 25

x + 5y = −5

Putting x=5 in 3x - 5y = 25

⇒15-5y=25

⇒ -5y= 10

⇒ y= -2

Putting x=5 in x + 5y = -5

⇒ 5+5y= -5

⇒ y= -2

D. 3x − 5y = 25

x − 5y = 5

Putting x=5 in x − 5y = 5

⇒ 5-5y=5

⇒ y=0

Hence, system of equations which matches the following graph is:

C. 3x − 5y = 25

x + 5y = −5