Frank solves the system of equations using the linear combination method. 2x+3y=−1

3x−5y=10

which steps would allow him to eliminate the y terms in the system of equations?

multiply 2x+3y=−1 by 3. multiply 3x−5y=10 by 5. add the resulting equations together.

multiply 2x+3y=−1 by 3. multiply 3x−5y=10 by 2. add the resulting equations together.

multiply 2x+3y=−1 by 2. multiply 3x−5y=10 by 5. add the resulting equations together.

multiply 2x+3y=−1 by 5. multiply 3x−5y=10 by 3. add the resulting equations together.

Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Step-by-step explanation:

To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

2x + 3y =  -1     (1)

3x -  5y = 10     (2)

The easiest way to do this is to multiply Equation (1) by 5

and Equation (2) by 3.

5 × [2x + 3y =  -1]

3 × [3x  - 5y = 10]

Then, add the two equations.

10x + 15y =  -5

9x  - 15y = 30

19x          = 25

Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

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