Question

Math hw are the points a solution to the systems?

Answer 1

Given

The given inequalities are

`-2x+y\leq-2\text{ and }4x+y\ge10.`

Required:

We have to check if the point (-6,-4) is the solution of the system.

Step-by-step explanation:

We put the given point in the place of x and y in the given inequality and check if it satisfies the inequality or not. If the point will satisfy both the inequality then it will be the solution of the given system otherwise it will not be the solution of the given system.

For the first inequality:

`\begin{gathered} -2(-6)+2(-4) \\ =12-8 \end{gathered}`
`=4`

But 4 is not less than or equal to -2. Hence the point (-6,-4) is not the solution of the given system.

Final answer:

Hence the final answer is:

The point (-6,-4) is not the solution to the given system.