Question
To solve by elimination, state what the first step would be in order to eliminate the
-term in the following system of equations
-3x-5y=15
2x-5y=10
Add the two equations together.
Multiply one of the equations by -1.
Multiply the top equation by 2 and the bottom by 3.
Substitute the bottom equation in for y in the top equation.
-term in the following system of equations
-3x-5y=15
2x-5y=10
Add the two equations together.
Multiply one of the equations by -1.
Multiply the top equation by 2 and the bottom by 3.
Substitute the bottom equation in for y in the top equation.
Answers
GPT-4o mini
To eliminate the \(-5y\) term in the given system of equations:
1. **First Equation**: \(-3x - 5y = 15\)
2. **Second Equation**: \(2x - 5y = 10\)
Since both equations have the \(-5y\) term, the simplest method would be to eliminate this term by using subtraction. However, since the options given do not specify this, the best first step would be:
**Multiply one of the equations by -1.**
This will allow you to add the equations together and eliminate the \(y\) terms, simplifying the process. So, the correct choice is:
**Multiply one of the equations by -1.**
1. **First Equation**: \(-3x - 5y = 15\)
2. **Second Equation**: \(2x - 5y = 10\)
Since both equations have the \(-5y\) term, the simplest method would be to eliminate this term by using subtraction. However, since the options given do not specify this, the best first step would be:
**Multiply one of the equations by -1.**
This will allow you to add the equations together and eliminate the \(y\) terms, simplifying the process. So, the correct choice is:
**Multiply one of the equations by -1.**