Item 7 three orders are placed at a pizza shop. two small pizzas, a liter of soda, and a salad cost $14; one small pizza, a liter of soda, and three salads cost $15; and three small pizzas, a liter of soda, and two salads cost $22. how much does each item cost?

For this case, the first thing we must do is define variables.

We have then:d

x: cost of each small pizza

y: cost of each liter of soda

z: cost of each salad.

We write the equation that models the problem:

From equation 3 we clear y:

Substituting in equation 2 we have:

Rewriting:

From here, we clear the value of z:

Then, we substitute the value of z and y in equation 1:

From here, we clear x:

Then, the value of z is:

Finally, the value of y is:

$ 5: cost of each small pizza

1 $: cost of each liter of soda  

3 $: cost of each salad.

is should be y = 5x

step-by-step explanation:

correct me if im wrong

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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