Question

Question 3

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)