Question

5x - 3y =11,
10x-6y-= 22 solve using graph method​

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

Given:

• 5x - 3y = 11
• 10x -6y = 22

Convert to y = mx + b form:

$\textbf{Solve for y}\\ \\ 5x - 3y = 11\\ \\ \text{Move 5x to the other side}\\ \\ -3y= -5x + 11\\ \\ \text{Divide both sides by -3} \\ \\ y = \frac{5}{3}x - \frac{11}{3} \\ \\ \textbf{Solve for y}\\ \\ 10x - 6y = 22\\ \\ \text{Move 10x to the other side}\\ \\ -6y = -10x+22\\ \\ \text{Divide both sides by -6}\\ \\ y = \frac{10}{6}x - \frac{11}{3}$

Graph:

In order to graph, we must start with the y-intercept and plot the slope accordingly.

Please view the graph I have attached below:

So, since both of the slopes and y-intercepts are equal, they both fall on the same line, hence, making the answer infinitely many solutions.