Question

Solve the system of equations and choose the correct answer from the list of options. (4 points)

x − y = 7
y = 3x + 12


2 over 19 comma 2 over 33


negative 2 over 19 comma negative 33 over 2


negative 19 over 2 comma negative 33 over 2


19 over 2 comma 33 over 2

Answer 1

(-19/2, -33/2)

Explanation:

Answer 2

x=-19/2 y=-33/2

Explanation:

x − y = 7

y = 3x + 12

Substituting the second equation into the first

x − (3x+12) = 7

Distribute the minus sign

x-3x-12 = 7

Combine like terms

-2x-12 =7

Add 12 to each sid

-2x-12+12 =7+12

-2x=19

Divide each side by -2

-2x/-2 = 19/-2

x = -19/2

Now we need to find y

y = 3x+12

y = 3(-19/2) +12

y = -57/2 +24/2

y = -33/2