At what value of x do the graphs of the equations below intersect?
2x − y = 6
5x + 10y = −10
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Step-by-step explanation:
2x - y = 6
5x + 10y = -10
( 2x - y = 6 ) * 5
10x - 5y = 30
( 5x + 10y = -10 ) * 2
10x + 20y = -20
If we subtract the last 2 equations,
30y = -50
y = -(5/3)
2x - (-5/3) = 6
2x + (5/3) = 6
2x = 6 - (5/3)
2x = (18-5)/3
2x = 13/3
x = 13/6
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