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=x+2𝑦=𝑥+23x+2y=−13𝑥+2𝑦=−1Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System:
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=x+2𝑦=𝑥+23x+2y=−13𝑥+2𝑦=−1Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System:
Solution
The first step in solving this system using the substitution method would be to take the first equation, y = x + 2, and substitute it into the second equation in place of y. This gives us:
3x + 2(y) = -1 3x + 2(x + 2) = -1 3x + 2x + 4 = -1 5x + 4 = -1
Next, we would solve for x by subtracting 4 from both sides and then dividing by 5:
5x = -5 x = -1
Then, we substitute x = -1 back into the first equation to solve for y:
y = -1 + 2 y = 1
So, the solution to the system of equations is (-1, 1).
Similar Questions
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