Use the substitution method to solve the system of equations. Choose the correct ordered pair.x + 2y = 12–x = –y – 6A.(9, 3)B.(7, 1)C.(8, 2)D.(6, 0)SUBMITarrow_backPREVIOUS
Question
Use the substitution method to solve the system of equations. Choose the correct ordered pair.x + 2y = 12–x = –y – 6A.(9, 3)B.(7, 1)C.(8, 2)D.(6, 0)SUBMITarrow_backPREVIOUS
Solution
Step 1: We have two equations here:
- x + 2y = 12
- -x = -y - 6
Step 2: The second equation can be rewritten as x = y + 6
Step 3: Now, we can substitute x in the first equation with y + 6. So, the first equation becomes:
(y + 6) + 2y = 12 3y + 6 = 12 3y = 12 - 6 3y = 6 y = 6 / 3 y = 2
Step 4: Substitute y = 2 into the second equation:
-x = -2 - 6 -x = -8 x = 8
So, the solution to the system of equations is (8, 2), which corresponds to option C.
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