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3 years ago

Estimate the solution to the system of equations.

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

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Step-by-step explanation:

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Step-by-step explanation:

Given

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Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

$\dfrac{1}{2}(x+2)+3y$

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

$\dfrac{1}{2}(x+2)+3y$

It can be written as:

$\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y$

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The graph of the inequality $\dfrac{1}{2}x+3y$ is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

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