Question

Solve using substitution. 2x − y = –11 y = 3x-9 :

a) (x,y)=(4,3)
b) (x,y)=(−4,3)
c) (x,y)=(4,−3)
d) (x,y)=(−4,−3)

Answer 1

To solve the given system of equations using substitution, we substitute the value of y from the second equation into the first equation. The solution to the system of equations is (x, y) = (20, 51).

Step-by-step explanation:

To solve the given system of equations using substitution, we substitute the value of y from the second equation into the first equation.

Substituting y = 3x - 9 into the first equation 2x - y = -11, we get:

2x - (3x - 9) = -11

2x - 3x + 9 = -11

-x + 9 = -11

-x = -20

x = 20

Now, using the value of x = 20 in the second equation y = 3x - 9, we can find y:

y = 3(20) - 9

y = 60 - 9

y = 51

Therefore, the solution to the system of equations is (x, y) = (20, 51).