Solve the following equations: 7x-4y=-10 and 4y=x-2.

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We have to solve the simultaneous equations

7x-4y=-10 ...(1)

4y=x-2...(2)

add (2) and (1)

=> 7x - 4y + 4y = -10 + x - 2

=> 7x = -12 + x

=> 6x = -12

=> x = -2

Substitute this in (2)

4y=x-2

=> 4y = -2 - 2

=> 4y = -4

=> y = -1

Therefore we get x = -2 and y = -1.

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