How do you solve $y = x+1$ and $y = 2x -1$ ?

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Answer 1 · 2015-08-03T18:42:41

$color(red)( x=2,y=3)$

One way is to use the method of substitution.

Step 1. Enter the equations.

[1] $y=x+1$
[2] $y=2x-1$

Step 2. Substitute the value of $y$ from Equation 1 into Equation 2.

$y=x+1$
$2x-1= x+1$
$2x-x=1+1$

[3] $x=2$

Step 3. Substitute Equation 3 into Equation 1.

$y=x+1$
$y=2+1$

$y=3$

Solution: $x=2,y=3$

Check: Substitute the values of $x$ and $y$ in Equations 1 and2.

(a) In Equation 1

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

(b) In Equation 2

$y=2x-1$
$3=2(2)-1$
$3=4-1$
$3=3$

It checks!

Our solution is correct.

How do you solve y = x+1y = x+1 and y = 2x -1y = 2x -1?