Check for Reasonableness Zach solves the system

\(\begin{cases}
x + y = -3\\
x - y = 1
\end{cases}\)

and finds the solution (1, -2). Use a graph to explain whether Zach’s solution is reasonable.

Represent Real-World Problems Angelo bought apples and bananas at the fruit stand. He bought 20 pieces of fruit and spent $11.50. Apples cost $0.50 and bananas cost $0.75 each.
a. Write a system of equations to model the problem. (Hint: One equation will represent the number of pieces of fruit. A second equation will represent the money spent on the fruit.)

b. Solve the system algebraically. Tell how many apples and bananas Angelo bought.

Represent Real-World Problems A jar contains \(n\) nickels and \(d\) dimes. There is a total of 200 coins in the jar. The value of the coins is $14.00. How many nickels and how many dimes are in the jar?

Multistep The graph shows a triangle formed by the x-axis, the line \(3x - 2y = 0\), and the line \(x + 2y = 10\). Follow these steps to find the area of the triangle.

a. Find the coordinates of point A by solving the system

\(\begin{cases}
3x - 2y = 0\\
x + 2 y = 10
\end{cases}\)

Point A:____________________

b. Use the coordinates of point A to find the height of the triangle.
height:__________________

c. What is the length of the base of the triangle?
base:________________

d. What is the area of the triangle?