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)
1. You have the following system of equations:
[tex]\left \{ {{y=-x-5} \atop {y=x+9}} \right.[/tex]
2. Therefore, you have that [tex]y=y[/tex], then:
[tex]-x-5=x+9[/tex]
3. Solve for [tex]x[/tex]:
[tex]-5-9=x+x\\2x=-14\\x=-7[/tex]
3. Now, substitute this value into one the original equations:
[tex]y=x+9\\y=-7+9\\y=2[/tex]
The answer is: (-7,2)
