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8_murik_8 [283]
3 years ago
14

Y= 2x - 3; Y = (1/2)x - 4

Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

(-2/3, -13/3)

Step-by-step explanation:

Given the expressions;

y= 2x - 3\\y = (\frac{1}{2} )x - 4

Equating both expressions;

y=y\\2x-3=\frac{1}{2}x-4\\

Collect the like terms:

2x-\frac{1}{2}x=-4+3\\\frac{3x}{2}=-1\\3x=-2\\x=\frac{-2}{3}

Substitute x=\frac{-2}{3} into any of the expressions to get 'y'

Recall\ y= 2x-3\\y=2(\frac{-2}{3} )-3\\y=\frac{-4}{3}-3\\y=\frac{-4-9}{3} \\y=\frac{-13}{3}

Hence the solution to the equation is (-2/3, -13/3)

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