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=6x−18𝑦=6𝑥−18y=−2x−2𝑦=−2𝑥−2Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: == Solution: CheckQuestion 2
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=6x−18𝑦=6𝑥−18y=−2x−2𝑦=−2𝑥−2Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: == Solution: CheckQuestion 2
Solution
The first step in solving this system using the substitution method would be to set the two equations equal to each other since they both equal y. So, you would get:
6x - 18 = -2x - 2
Now, to solve the system of equations using the substitution method, you would first add 2x to both sides of the equation to get:
8x - 18 = -2
Then, add 18 to both sides of the equation to get:
8x = 16
Finally, divide both sides of the equation by 8 to solve for x:
x = 2
Substitute x = 2 into the first equation y = 6x - 18 to solve for y:
y = 6(2) - 18 = 12 - 18 = -6
So, the solution to the system of equations is the ordered pair (2, -6).
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