Question

Question 3

What is the approximate solution of the following system of equations?
graph of lines y equals negative x minus 5 and y equals x plus 9

(2, -7)

(-7, 2)

(7, 2)

(-7, -2)

Answer 1

1. You have the following system of equations:

`\left \{ {{y=-x-5} \atop {y=x+9}} \right.`

2. Therefore, you have that
`y=y`, then:

`-x-5=x+9`

3. Solve for
`x`:

`-5-9=x+x\\2x=-14\\x=-7`

3. Now, substitute this value into one the original equations:

`y=x+9\\y=-7+9\\y=2`

The answer is: (-7,2)

Answer 2

answer is (-7,2)

y = -x -5

y= x+9

Both equations have y on the left hand side

So we equate both equations

We replace -x-5 for y in the second equation

-x -5 = x+9

Subtract x on both sides

-2x -5 = 9

Now add 5 on both sides

-2x = 14

Divide by -2 from both sides

x = -7

Now plug in -7 for x in the first equation

y = -x -5

y = -(-7) -5= 7-5 = 2

So answer is (-7,2)