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Q7.

Expert-verifiedFound in: Page 331

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**Solve each equation or formula for the variable specified. **

** **

**$2x+4y=12$, for x**

The required equation is represented by $x=6-2y$**.**

Isolation of *x* on any side of the equation will represent the required equation and to get this, perform some operations on the provided equation.

Perform subtraction of $4y$ on both sides of the provided equation.

role="math" localid="1647499906150" $\begin{array}{c}2x+4y-4y=12-4y\\ 2x=12-4y\end{array}$

** **

Perform division of 2 on both sides of the obtained equation.

** **

role="math" localid="1647499947583" $\begin{array}{c}\frac{2x}{2}=\frac{12-4y}{2}\\ x=\frac{12-4y}{2}\\ x=6-2y\end{array}$

The obtained is $x=6-2y$ so it is required equation.

**The cost of two meals at a restaurant is shown in the table below.**

Meal | Total Cost |

$3ta\mathrm{cos}$, $2burritos$ | $\mathrm{\$}7.40$ |

$4ta\mathrm{cos}$, $1burritos$ | $\mathrm{\$}6.45$ |

**a. Define variables to represent the cost of a taco and the cost of a burrito.**

**b. Write a system of equations to find the cost of a single taco and a single burrito.**

**c. Solve the systems of equations, and explain what the solution means.**

**d. How much would a customer pay for $2ta\mathrm{cos}$ ****and $2burritos$****?**

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