Need Help Finding The Point Of Intersection.

Kso for example, I need to know how to solve the following question.
find the point of intersection for this line y=3x+1-
y=4x+7

If you know how to solvne that, & show step-by-step how you got the answer, that the be greatly appreciated :wink:
Kinda need to know this for tomorrow, so PLEASE HELP ;]
 
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Suppose two lines intersect at the point (x, y). Then this point must lie on both lines, so x and y must satisfy both equations.

Equation [1] : y=3x+1
Equation [2] : y=4x+7

Remember, the point must be satisfied in both equations.

Either y=y or x=x . . .

If you start with y=y , then you'll find x and then replace this x in one of the equations you've got.

So , : 3x + 1 = 4x + 7
. . . . . : 4x - 3x = 7 - 1 -----> x=6

By replacing it , y = 3(6) + 1 = 19=y .
 
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