How do you solve the system $y = x + 2$ $y=x+2$ and $y + 1 = 2 x$ $y+1=2x$ using substitution?

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Answer 1 · 2015-05-24T23:36:09

Use the formula for $y$ $y$ given to us in the first equation, substituting it into the second equation:

$2 x = y + 1 = (x + 2) + 1 = x + 3$ $2x = y + 1 = (x+2) + 1 = x+3$

Subtract $x$ $x$ from both sides to get:

$x = 3$ $x=3$

Substitute $x = 3$ $x=3$ in the first equation to get:

$y = x + 2 = 3 + 2 = 5$ $y = x+2 = 3+2 = 5$

How do you solve the system y=x+2y=x+2y=x+2 and y+1=2xy+1=2xy+1=2x using substitution?