Question

What is the solution to the system of equations? y = 2/3 x + 3 x = –2

Answer 1

Sub in -2 for x in the first equation
y = 2/3(-2) + 3
y = -4/3 + 3
y = -4/3 + 9/3
y = 5/3

check..
y = 2/3x + 3
5/3 = 2/3(-2) + 3
5/3 = -4/3 + 9/3
5/3 = 5/3 (correct)

so ur solution is : (-2,5/3)

Answer 2

Answer:

the solution for the given equations is $(-2, \frac{5}{3})$

Step-by-step explanation:

Given the system of equations:

$y = \frac{2}{3}x+3$        ....[1]

$x = -2$                           ....[2]

Substitute the value of [2] into [1] we have;

$y = \frac{2}{3}(-2)+3$

⇒$y = -\frac{4}{3}+3$

⇒$y = \frac{5}{3}$

therefore, the solution for the given equations is $(-2, \frac{5}{3})$