y = 2 x + 6 y = − 3 x + 16 2 x + 6 = − 3 x + 16 2 x + 6 + 3 x − 6 = − 3 x + 16 + 3 x − 6 5 x = 10 / : 5 x = 2 y = 2 x + 6 ⇒ y = 2 ⋅ 2 + 6 = 4 + 6 = 10 A n s . x = 2 an d y = 10
y= 2x+6 so therefor ----> x=2 and y=10
The solution to the system of equations is x = 2 and y = 10 . By setting the equations equal, we simplified to find the value of x , and then substituted back to find y . Thus, the point of intersection for the two lines represented by these equations is (2, 10).
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