Question

directions: use this information to answer parts a, b, and c. students in ms. chu’s science class are building model rockets. jars of baking soda cost $x dollars each, and bottles of vinegar cost $y dollars each. the system shown relates the prices of these items: \\(\

$$\begin{cases} 5x + 3y = 17 \\\\ x + y = 4 \\end{cases}$$

\\) part a graph to estimate the solution of the system. use the line tool to plot the equations. show hints

Explanation:

Step1: Solve the second equation for y

From \(x + y = 4\), we can express \(y\) as \(y = 4 - x\).

Step2: Substitute y into the first equation

Substitute \(y = 4 - x\) into \(5x + 3y = 17\):

$$
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$$

Step3: Find y using the value of x

Substitute \(x = 2.5\) into \(y = 4 - x\):
\(y = 4 - 2.5 = 1.5\)

Answer:

The solution to the system is \(x = 2.5\) and \(y = 1.5\), so the solution point is \((2.5, 1.5)\)