Question

What is the solution to the system of equations y23x3 x 2

Answer 1

The Solution for the given system of equations is (-2) and $(\frac{5}{3})$.

The given are linear equations as follow:
y = $\frac{2}{3}x$ + 3              .. ... ...(1)
and x  = -2.          .. .... ...(2)

We already know the first part of the solution (x) which is -2.  We can find the other part (y) by putting the value of equation (2) in equation (1).

By putting the values of x in equation (1), we get

y = $(\frac{2}{3})(-2)$ + 3
y = $\frac{-4}{3}$ + 3

Taking the L. C. M of denominators which will be '3', we get:

y = $\frac{-4 + 9}{3}$

y = $\frac{5}{3}$

So the second part (y) of the solution of the given equation is $\frac{5}{3}$.

Hence, the overall solution to the given system of equation is $(-2, \frac{5}{3})$.

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