What is the y-coordinate for the solution to the system of equations? {y=1/2x−4 y=−2x+1

Answer 1

y = (1/2)x - 4= -2x + 1

(5/2)x = 5

x = 5(2/5) = 2

y = -2(2) + 1 = -3 = the y coordinate of the solution

solution point is (2,-3)

Unless you meant 1/2x -4 =-2x +1

1 -8x = -4x^2 +2x

4x^2 -10x + 1 = 0

x = 10/8 + or - (1/8)sqr(100 -16) = 5/4 + or - (1/8)sqr84

y = --2x +1 = -5/2 + or - (1/4)sqr84 + 1

= -3/2 + or - (1/4)sqr84

or you may have even meant

1/(2x-4) = -2x + 1

1 = -4x^2 + 8x + 2x-4

4x^2 -10x +5 = 0

x = 5/4 + or - (1/8)sqr(100-80) = 5/4 + or - (1/4)sqr5

y = -5/2 + or -(1/2)sqr5 + 1

=--3/2 + or - (1/2)sqr5

Odds are you want the first answer, but you really needed parentheses around the 1/2 so it reads (1/2)x

The 2nd answer is technically correct, but you probably intended parentheses

the 3rd answer is possible if you left out a different place for the parentheses

But you probably intended two simple linear equations, not quadratic, so go with the 1st answer .

y = -3