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How do I go about solving our these Simultaneous Equations questions?

I'm so confused on how to do them or work them, it hurts just to do these.

4x+6y=62

2x+5y=49

5x+2y=43

8x - y=52

3x+10y=9500

8x+3y=6400

I want to know how I would work these out and what are the basics in handling these type of questions?

Just use algebra to eliminate one of the variables.

For the first set, divide eq. 1 by 2 to get 2x+3y = 31

then subtract that from the second eq. to get 2y = 18 so y = 9 and then x=2

For the second set, multiply the second eq. by 2 to get 16x-2y = 104

add the two eqns. to get 21x = 147 so x = 7 and y = 4

For the third set, multiply the 1st eq. by 8 to get 24x+80y = 76000

multiply the 2nd eq. by 3 to get 24x+9y = 192oo

subtract the 2nd from the 1st to get 71y = 56800 so y = 800 and then x = 500

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