Question

Use the substitution method to solve the systems of equations. Choose the correct ordered pair..

x+2y=12
−x=−y−6

A. (6, 3)
B. (-6, 3)
C. (6, -3)
D. (-6, -3).

Answer 1

To solve the system of equations using the substitution method, we need to solve for one variable and substitute the expression in the other equation. The correct ordered pair is (8, 2).

Step-by-step explanation:

To solve the given system of equations using the substitution method, we need to solve one equation for a variable and then substitute that expression into the other equation.

Given the equations:

x + 2y = 12

-x = -y - 6

From the second equation, we can solve for x:

x = y + 6

Now we substitute this expression for x in the first equation:

(y + 6) + 2y = 12

Simplifying the equation:

3y + 6 = 12

3y = 6

y = 2

Substituting the value of y in the expression for x:

x = 2 + 6

x = 8

Therefore, the correct ordered pair is (8, 2).