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: CheckQuestion 7
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: CheckQuestion 7
Solution
The first step in solving the system of equations using the substitution method would be to substitute the expression for y from the first equation (y = x + 2) into the second equation. This gives us:
3x + 2(x + 2) = -1
Now, we can solve this equation for x:
3x + 2x + 4 = -1 5x + 4 = -1 5x = -5 x = -1
Then, we substitute x = -1 into the first equation to solve for y:
y = -1 + 2 y = 1
So, the solution to the system of equations is (-1, 1).
To check our solution, we substitute x = -1 and y = 1 into both original equations:
For y = x + 2, we get 1 = -1 + 2, which is true. For 3x + 2y = -1, we get 3(-1) + 2(1) = -1, which is also true.
Therefore, our solution is correct.
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