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=2x−5𝑦=2𝑥−5y=x−1𝑦=𝑥−1Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: == Solution: CheckQuestion 1
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=2x−5𝑦=2𝑥−5y=x−1𝑦=𝑥−1Now, finish solving the system of equations using the substitution method and state your final answer as an ordered pair.System: == Solution: CheckQuestion 1
Solution
The first step in solving the system of equations using the substitution method would be to substitute one equation into the other. Since y is already isolated in both equations, we can set them equal to each other:
2x - 5 = x - 1
Now, to solve for x, we can subtract x from both sides of the equation:
2x - x = -1 + 5
This simplifies to:
x = 4
Now that we have the value for x, we can substitute it into either of the original equations to solve for y. Let's use the first equation:
y = 2(4) - 5
This simplifies to:
y = 3
So, the solution to the system of equations is the ordered pair (4, 3).
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