Question

Graph the equations to solve the system.

y = -2x − 3
y=x+6
Click on the correct answer.
solutions: all
numbers on the line
one solution: (-3,3}
no solution: {
one solution: (0,6}

Answer 1

`(x,y)=(-3,3)`

Explanation:

Given

• [1]
  `y=x+6`
• [2]
  `y=-2x-3`

If we subtract equation [2] from equation [1] we will be left with an equation in only 1 unknown
`(x)`

[3]
`=3x+9`

We can now split the variable term and the constant (one on each side of the equation by subtracting
`3x` rom both sides.

[4]
`-3x=9`

Dividing by
`(-3)` leaves just the variable x equal to a constant

[5]
`x=-3`

To find the value of y substitute this value
`(-3)` in place of x in one of the original equations. (I will use equation [1])

[6]
`y=(-3)+6=3`