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Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation eliminates the y terms?


-5/8x + 3/4y = 12

8x + 12y = 11

A10x - 12y = -192
B- 10x + 12y = 192
C5x - 12y = 96
D- 5x + 12y = 96

Verified Answer :

texaschic101

if u multiply the first equation by -16, u get : 10x - 12y = - 192

and when added to the other equation, it will eliminate the y terms.

Answer:

Option B - \(-10x+12y=192\)

Step-by-step explanation:

Given : The system of equations

\(-\frac{5}{8}x+\frac{3}{4}y=12\)

\(8x+12y=11\)

To find : Which is an equivalent form of the first equation that when added to the second equation eliminates the y terms?

Solution :

To get an equivalent equation we solve the equation by taking least common denominator,

\(-\frac{5}{8}x+\frac{3}{4}y=12\)

\(\frac{-5x+6y}{8}=12\)

\(-5x+6y=12\times 8\)

\(-5x+6y=96\)

Multiply equation by 2,

\(-10x+12y=192\)

Therefore, option B is correct.

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