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

Question

asked Mar 3, 2022 225k views

1 Answer

Paula Livingstone · Answer 1 · 2022-03-06T22:51:30+0000

Answer:

(-2/3, -13/3)

Explanation:

Given the expressions;

$y= 2x - 3\\y = ((1)/(2) )x - 4$

Equating both expressions;

$y=y\\2x-3=(1)/(2)x-4\\$

Collect the like terms:

$2x-(1)/(2)x=-4+3\\(3x)/(2)=-1\\3x=-2\\x=(-2)/(3)$

Substitute
x=(-2)/(3) into any of the expressions to get 'y'

$Recall\ y= 2x-3\\y=2((-2)/(3) )-3\\y=(-4)/(3)-3\\y=(-4-9)/(3) \\y=(-13)/(3)$

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