solve the system of equations graphically. if the system does not have a single ordered pair as a solution…

solve the system of equations graphically. if the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.\ny = -\\frac{3}{5}x + 3\n3x + 5y = 5\nuse the graphing tool to graph the system.

solve the system of equations graphically. if the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.\ny = -\\frac{3}{5}x + 3\n3x + 5y = 5\nuse the graphing tool to graph the system.

Answer

Explanation:

Step1: Rewrite the second - equation in slope - intercept form

Starting with $3x + 5y=5$, solve for $y$. Subtract $3x$ from both sides: $5y=-3x + 5$. Divide by 5: $y=-\frac{3}{5}x + 1$.

Step2: Analyze the slopes and y - intercepts

The first equation is $y =-\frac{3}{5}x+3$, and the second equation is $y =-\frac{3}{5}x + 1$. The slopes of both lines are $m =-\frac{3}{5}$. The y - intercepts are $b_1 = 3$ and $b_2=1$. Since the slopes are equal and the y - intercepts are different, the lines are parallel.

Answer:

The system is inconsistent.