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y=x+6
2x+3y=30 find the intersection

Sagot :

Linandrew41idn

Find our given information

y = x + 6       -- equation 1

2x + 3y = 30 -- equation 2

plug equation 1 into equation 2

[tex]2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3[/tex]

plug equation 3 into equation 1

[tex]y = (12/5) + 6 = 42/5[/tex]

The intersection is (12/5, 42/5)

Hope that helps!

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