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Sagot :

  • x+6y=6
  • y=1/3x-2

Graph attached

Solution is (6,0)

View image Аноним
fieryanswererft

Answer:

they intersect each other at (6,0)

Explanation:

[tex]\sf x + 6y = 6[/tex]

[tex]\sf y = \frac{1}{3} x-2[/tex]

insert equation 2 into 1

[tex]\sf x + 6(\frac{1}{3} x-2) = 6[/tex]

[tex]\sf x + 2x - 12 = 6[/tex]

[tex]\sf 3x- 12 = 6[/tex]

[tex]\sf 3x = 6+12[/tex]

[tex]\sf 3x = 18[/tex]

[tex]\sf x = 6[/tex]

Find y:

[tex]\sf y = \frac{1}{3} (6)-2[/tex]

[tex]\sf y =2-2[/tex]

[tex]\sf y = 0[/tex]

Note: the blue line is  [tex]\sf y = \frac{1}{3} x-2[/tex]  and red line is [tex]\sf x + 6y = 6[/tex]

View image fieryanswererft
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