When **graphing inequalities**, the dependent variable, or <em>y</em>, is placed on the left hand side of the equation while the right side has the other **variables**

One **possible solution** of the inequality is <u>(20, 60)</u>

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The **given **parameters are;

The amount of **supplies **Jonathan has = Enough to make 90 **tacos**

Price at which each **taco **is **sold **= $3

Price at which each **burrito **is sold = $7

The amount of tacos and burritos Jonathan must sell each day = **$420**

**Number **of tacos sold = x

Number of burritos sold = y

**Required**:

To **write **and solve the **system **of inequalities **graphically **and determine one possible solution

**Solution**:

The system of inequalities are;

x + y ≤ 90

3·x + 7·y ≥ 420

To **plot the graphs** of the above inequalities, we have;

y ≤ 90 - x

y ≥ 420/7 - 3·x/7

y ≥ 60 - 3·x/7

From the graph of the inequality, the vertices of the **triangle **of the **feasible region **are;

(0, 90), (0, 60), and for accuracy, the third **vertex **is found as follows;

90 - x = 60 - 3·x/7

x = 52.5

y = 90 - x

∴ At the vertex point, y = 37.5

The third vertex is (52.5, 37.5)

The vertices of the triangle of the **feasible **region are; (0, 90), (0, 60), and (52.5, 37.5), and one <u>possible solution</u> inside the feasible region is <u>(20, 60)</u>

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Learn more about **graphing inequalities** here;

brainly.com/question/2726610