Question

Solve the system of equations below. You may only solve using either elimination or substitution methods. State your answer in the form (x,y). Show all work to earn points.

x + 6y = 2

3x - 6y = 30

Answer 1

Hi,

Explanation:

`\left\{\begin{array}{ccc}x+6y&=&2\\3x-6y&=&30\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}6y&=&2-x\\3x-(2-x)&=&30\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}6y&=&2-x\\3x-2+x&=&30\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}6y&=&2-x\\4x&=&32\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&8\\6y&=&2-8\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&8\\y&=&-1\\\end {array}\right.\\\\\\`

Sol={(8,-1)}