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4x - 5y = 4 & 6x - 7y = 10

This is a pair of simultaneous equations. Re-write as

4x - 5y = 4

6x - 7y = 10

To find the value of 'x; we need to eliminate 'y'

To do this multiply the top eq'n by '-7' and the bottom equation by '5' . This brings the coefficients of 'y' to the same value, but one is plus(+) and the other is negative(-).

Hence

-28x + 35y = -28

30x - 35y = 50

Add the two eq'ns, this will eliminate 'y'

2x = 22

x = 11

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lenpollock

Lvl 15
9mo ago
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Wiki User

14y ago

The value of x is 11, and the value of y is 8.

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Q: If 4x-5y equals 4 and 6x-7y equals 10 what is the value of x?
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