Question

As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor should she multiply both sides of the other equation so that she can add the equations and eliminate a variable?

5x + 6y = 18
2x – 3y = 12

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

After multiplying both sides of the first equation by 6, Yumiko would obtain:

12x−18y=72

12x−18y=72

So, she can multiply both sides of the second equation by 3 to obtain 15x+18y=5415x+18y=54 so that when added to the other equation, yy would be eliminated.