What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=3x−12𝑦=3𝑥−123x−2y=123𝑥−2𝑦=12Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: Solution:
Question
What would your first step look like if you were solving this system using the substitution method? DO NOT include spaces in your answer.y=3x−12𝑦=3𝑥−123x−2y=123𝑥−2𝑦=12Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: Solution:
Solution
The first step in solving this system using the substitution method would be to substitute y from the first equation into the second equation. This gives us:
3x - 2(3x - 12) = 12
Now, we can solve this equation. First, distribute the -2 through the parentheses:
3x - 6x + 24 = 12
Combine like terms:
-3x + 24 = 12
Subtract 24 from both sides:
-3x = -12
Divide by -3:
x = 4
Now that we have x, we can substitute it back into the first equation to find y:
y = 3(4) - 12
y = 12 - 12
y = 0
So the solution to the system of equations is (4, 0).
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