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
