Question

solve each system using

1. $y = x + 1$

$y = 2x - 1$

Explanation:

Step1: Set the two equations equal

Since both expressions equal $y$, we set $x + 1=2x - 1$.

Step2: Solve for $x$

Subtract $x$ from both sides: $1=2x - x-1$, so $1=x - 1$. Then add 1 to both sides: $x=1 + 1=2$.

Step3: Find $y$

Substitute $x = 2$ into the first - equation $y=x + 1$. So $y=2+1=3$.

Answer:

$x = 2,y = 3$