Question

Dimi analyzed this system of equations and determined that there is no solution.
y = 3x – 2
y + 2 = 3x
Is he correct?

Answer 1

$\begin{bmatrix}y=3x-2\\ y+2=3x\end{bmatrix}$

$\mathrm{Subsititute\:}y=3x-2 \ \textgreater \ \begin{bmatrix}3x-2+2=3x\end{bmatrix}$

$\mathrm{Expressing\:}y\mathrm{\:in\:terms\:of\:}x \ \textgreater \ y=3x-2$

$Therefore\;y=3x-2\;is\our\;solution!$

So no he is incorrect, hope this helps!

Answer 2

Y = 3x - 2
Y + 2 = 3x

The answer is yes, he is correct. There is no solution to this equation.