Answer:
[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{2}{3}x + 3[/tex]
[tex]x = -2[/tex]
Required
Determine the solution to the equations
From the second equation, we have the value of x already;
The next step is to substitute -2 for x in the first equation
[tex]y = \frac{2}{3}x + 3[/tex] becomes
[tex]y = \frac{2}{3}(-2) + 3[/tex]
[tex]y = \frac{-4}{3} + 3[/tex]
[tex]y = -\frac{4}{3} + 3[/tex]
Take LCM
[tex]y = \frac{-4 + 9}{3}[/tex]
[tex]y = \frac{5}{3}[/tex]
Hence,
[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]
