\(What\,\,is\,\,the\,\, intersection \,\,of \)\(the \,\,following\,\,two\,\,straight\,\,lines?\)Finding the Intersection of lines is as simple as setting two linear equations equal to each other and finding x.
And once x (or other variable name) is found, you plug it into either equation to find y (or other variable name).
\(2x + 9 \)
\(and\)
\(3x - 3\)
\(2x + 9 = 3x - 3\)
\(2x - 3x + 9 = 3x - 3x - 3\)
\(-x + 9 = -3\)
\(-x + 9 - 9 = -3 - 9\)
\(-x = -12\)
\(\dfrac{-x}{-1} = \dfrac{-12}{-1}\)
\(x = 12\)
\(so\,\, considering \)
\(2x + 9\)
\(2(12) + 9 = 33\)
\(therefore\,\,the\,\,intersection\,\,is\)
\((12, 33)\)
