SOLUTION: Please help me solve this system of equations: y=2x+1 y=4/7x +1

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Question 1137943: Please help me solve this system of equations:
y=2x+1
y=4/7x +1

Found 2 solutions by josgarithmetic, Theo:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=y;
Substitute for y.

2x%2B1=4x%2F7%2B1
Obviously x is 0, so, both equations intersect at (0,1).

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equations are:

y = 2x + 1
y = (4/7)x + 1

subtract the second equation from the first to get:

0 = 2x - (4/7) * x

multiply both sides of this equation by 7 to get:

0 = 14x - 4x

combine like terms to get 0 = 10x

solve for x to get x = 0

when x = 0:

y = 2x + 1 becomes y = 1
y = (4/7)x + 1 becomes y = 1

the common solution to both equations is when x = 0.

when x = 0 in both equations, y = 0 in both equations.