Answer:
y = 1 [ y intercept (0,1) ]
x = -5/11 [ x intercept : (-5/11,0) ]
Explanation:
First split this compound equation into two seperate ones:
y = 11x + 6y = 11x + 6 →
{ y = 11x + 6y → -5y = 11x → [ y = -11/5x ]
[ y = 11x + 6 ] }
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Then find the x point of intersection by substitution.
y = -11/5x → y = 11x + 6
-11/5x = 11x + 6
-11/5x - 11x = 6
-66x/5 = 6
-66x = 30
-11x = 5
x = 5/-11
x = -5/11
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Then find the y point of interesection by substituting the x solution in one of the equations.
x = -5/11 → y = -11/5x
y = -11/5(-5/11)
y = 55/55
y = 1