Question

question 7 of 14 step 2 of 2 consider the following system of equations. {3x + 3y = 0, 4x = - 4y} step 2 of 2: determine if the point (3, - 4/3) lies on both of the lines in the system of equations by substituting the ordered - pair into both equations. answer 5 points o yes o no keypad keyboard shortcuts

Explanation:

Step1: Substitute into first equation

Substitute $x = \frac{4}{3}$ and $y=-\frac{4}{3}$ into $3x + 3y=0$.
$3\times\frac{4}{3}+3\times(-\frac{4}{3})=4 - 4=0$

Step2: Substitute into second equation

Substitute $x = \frac{4}{3}$ and $y =-\frac{4}{3}$ into $4x=-4y$.
Left - hand side: $4\times\frac{4}{3}=\frac{16}{3}$. Right - hand side: $-4\times(-\frac{4}{3})=\frac{16}{3}$.

Answer:

Yes