Question

What is the solution to the system of equations below?

y = negative 3 x minus 9 and y = one-third x minus 39
(9, –36)
(9, 0)
(–9, 18)
(–9, –42)

Answer 1

a

Explanation:

Answer 2

A. (9, –36)

Explanation:

The equations are given as:

i) y = -3x - 9

ii) y= 1/3 x - 39

Use equation i) in equation ii)

-3x - 9 = 1/3 x - 39 -------multiply each term by 3 to remove the fraction

-9 x - 27 = x - 117

collect like terms

-9 x- x = -117 + 27

-10 x = -90

10x = 90

x = 90 / 10

x = 9 ------------iii

Use equation iii in i

y = -3x - 9

y = -3 * 9 - 9

y= -27 - 9

y= -36

Hence,

x = 9 , y = -36