Question

PLZ HELP What is the solution to the system of equations below?

y = one-half x + 6 and y = negative three-fourths x minus 4
A. (–8, 2)
B. (–8, –1)
C. (8, 10)
D. (8, –10)

Answer 1

A. (–8, 2)

Explanation:

Answer 2

A. (–8, 2)

Explanation:

The given system is

`y=(1)/(2)x+6\\ y=-(3)/(4)x-4`

Let us equate both of them to get:

`(1)/(2)x+6=-(3)/(4)x-4`

Multiply through by 4 to get:

`4*(1)/(2)x+4*6=4*-(3)/(4)x-4*4`

Simplify:

`2x+24=-3x-16`

Group similar terms:

`2x+3x=-16-24\\5x=-40\\x=-8`

Put x=-8 in the first equation:

`y=(1)/(2)(-8)+6=-4+6=2`

The correct answer is A