Solve the System of Inequalities y>2x-1 2x>5

$y > 2 x - 1$ $2 x > 5$

Step 1

Divide each term in $2 x > 5$ by $2$ and simplify.

Divide each term in $2 x > 5$ by $2$ .

$\frac{2 x}{2} > \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{5}{2}$

Divide $x$ by $1$ .

$x > \frac{5}{2}$

Step 2

Find the intersection of $y > 2 x - 1$ and $x > \frac{5}{2}$ .

$y > 2 x - 1$ and $x > \frac{5}{2}$

Step 3