Question

the graph of $2x - 5y = 10$ is shown on the grid.

graph of a line on a coordinate grid with x-axis from -10 to 10 and y-axis from -10 to 10

which ordered pair is in the solution set of $2x - 5y \geq 10$?

a $(0, 5)$

b $(5, 0)$

c $(-2, 5)$

d $(-5, 2)$

Explanation:

Step1: Substitute \(x = 0,y = 5\) into \(2x-5y\)

\(2\times0 - 5\times5=-25\)
Since \(-25<10\), \((0,5)\) is not a solution.

Step2: Substitute \(x = 5,y = 0\) into \(2x-5y\)

\(2\times5-5\times0 = 10\)
Since \(10 = 10\), \((5,0)\) is a solution.

Step3: Substitute \(x=-2,y = 5\) into \(2x-5y\)

\(2\times(-2)-5\times5=-4 - 25=-29\)
Since \(-29<10\), \((-2,5)\) is not a solution.

Step4: Substitute \(x=-5,y = 2\) into \(2x-5y\)

\(2\times(-5)-5\times2=-10-10=-20\)
Since \(-20<10\), \((-5,2)\) is not a solution.

Answer:

B. \((5,0)\)