Question 467682
2x+y=6

5x+4y=0
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There's more than one method.
You can use substitution:
2x+y=6
--> y = 6-2x
Sub for y in the 2nd eqn
5x + 4(6-2x) = 0
Solve for x.
Then sub for x into either eqn and find y.
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Elimination works, too:
2x+y=6
times 4 --> 8x+4y = 24
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8x+4y = 24
5x+4y = 0
----------- Subtract
3x = 24
x = 8
Then sub and find y.