Question

Substitution method
Y = 3x - 2
Y - 3x = 4

Answer 1

`\mathrm{No\:Solution}`

Explanation:

`\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}`

`\mathrm{Substitute\:}Y=3x-2`

`\begin{bmatrix}3x-2-3x=4\end{bmatrix}`

`\mathrm\:{Combine\:like\:terms:`

`\begin{bmatrix}-2=4\end{bmatrix}`

`-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}`

`\mathrm{No\:Solution}`