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Which is an equivalent form of the first equation that when added to second equation eliminates the x terms? 4/5 x-3/5y=18

User KevB
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1 Answer

28 votes
28 votes

Answer:


-8x + 6y = -180

Explanation:

Given


(4)/(5) x-(3)/(5)y=18


8x + 12y = 11

Required

Equivalent form of the first equation that eliminates x when added to the second

To do this, we simply make the coefficients of x to be opposite in both equations.

In the second equation, the coefficient of x is 8.

So, we need to make the coefficient of x -8, in the first equation.


(4)/(5) x-(3)/(5)y=18

Multiply by -10


-10 * [(4)/(5) x-(3)/(5)y=18]


(-40)/(5) x+(30)/(5)y=-180


-8x + 6y = -180

When this is added to the first equation, the x terms becomes eliminated

User DanBhentschel
by
2.3k points