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Y= 6x+5
y= -x+1 find the intersection point

Sagot :

Joshnathanlee2006idn

Answer:

(4/7 , 1 4/7)

Step-by-step explanation:

Fieryanswererftidn

Answer:

[tex]\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )[/tex]

given:

  • y = 6x+5
  • y = -x+1

insert question 2 into 1

[tex]\sf -x + 1 = 6x + 5[/tex]

[tex]\sf -x - 6x = 5 - 1[/tex]

[tex]\sf -7x = 4[/tex]

[tex]\sf x = -\frac{4}{7}[/tex]

find the value of y:

[tex]\sf y = -x + 1[/tex]

[tex]\sf y = -\frac{-4}{7} + 1[/tex]

[tex]\sf y = \frac{4}{7} + 1[/tex]

[tex]\sf y = \frac{4}{7} +\frac{7}{7}[/tex]

[tex]\sf y = \frac{11}{7}[/tex]

[tex]\sf y = 1\frac{4}{7}[/tex]

Therefore coordinates: (x,y) = [tex]\sf (-\dfrac{4}{7} ,1\dfrac{4}{7} )[/tex]

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