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Q8.

Expert-verifiedFound in: Page 361

Book edition
Student Edition

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

Pages
801 pages

ISBN
9780078884801

**Graph each system and determine the number of solutions that it has. If it has one solution, name it.**

$\begin{array}{c}2x+y=-4\\ 5x+3y=-6\end{array}$

The required solution is represented by $\left(-6,8\right)$**.**

Represent the provided equations in the form of graphs.

Graph of the provided equations are meeting at only one point that is $\left(-6,8\right)$.

The obtained solution is 1 in count that is why the provided equation has only one solution. The obtained point is in the form of $\left(x,y\right)$ so perform substitution of the obtained values of *x* and *y* into both of the provided equations for checking.

$\begin{array}{l}2\left(-6\right)+8\stackrel{?}{=}-4\\ \text{}-12+8\stackrel{?}{=}-4\\ \text{}-4=-4\text{True}\end{array}$

role="math" localid="1647516856470" $\begin{array}{l}5\left(-6\right)+3\left(8\right)\stackrel{?}{=}-6\\ \text{}-30+24\stackrel{?}{=}-6\\ \text{}-6=-6\text{True}\end{array}$

As the substitution of obtained solution returns a true statement so it is the required solution.

**On the first day, a total of 40 items were sold for$\mathbf{\$}\mathbf{356}$. Define the variables, and write equations to find the number of cakes and pies sold. Solve by using elimination.**

| ||

Bake sale | ||

| $\mathbf{\$}\mathbf{10}$ | |

| $\mathbf{\$}\mathbf{8}$ |

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