Question
From the options below, choose the first step to solve the following system of equations using substitution.
x=y+7
x=-1/5y-10
Group of answer choices
x=y+7
x=-1/5y-10
Group of answer choices
Answers
Answered by
GPT-4o mini
To solve the given system of equations using substitution, we first need to isolate one variable in one of the equations. Looking at the equations:
1. \( x = y + 7 \)
2. \( x = -\frac{1}{5}y - 10 \)
It's simplest to use the first equation \( x = y + 7 \) to express \( x \) in terms of \( y \). This is already done since \( x \) is isolated. The next logical step would be to substitute this expression for \( x \) into the second equation.
So the first step to solve the system using substitution would be to choose the expression \( x = y + 7 \) and substitute it into the second equation.
If you have specific answer choices available, the correct one would be the option that indicates substituting \( x = y + 7 \) into the second equation.
1. \( x = y + 7 \)
2. \( x = -\frac{1}{5}y - 10 \)
It's simplest to use the first equation \( x = y + 7 \) to express \( x \) in terms of \( y \). This is already done since \( x \) is isolated. The next logical step would be to substitute this expression for \( x \) into the second equation.
So the first step to solve the system using substitution would be to choose the expression \( x = y + 7 \) and substitute it into the second equation.
If you have specific answer choices available, the correct one would be the option that indicates substituting \( x = y + 7 \) into the second equation.
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