Question

X + 4y = -24
5x + 3y = -35

Answer 1

`(-4,-5 )`

Explanation:

You are looking for the point of intersection of these two functions.

Substitution:

• This are now your formulas

`\left \{ {{x=-4y-24} \atop {5x+3y=-35}} \right.`

• You are going to substitute x, so you can solve for y

1. 
   `5(-4y-24)+3y=-35`
2. 
   `-20y-120+3y=-35`
3. 
   `-17y=85`
4. 
   `y=-5`

• Now you are going to substitute y to find x

1. 
   `x=-4(-5)-24`
2. 
   `x=20-24`
3. 
   `x=-4`

• Now lets check if it is correct

1. 
   `-4+4(-5)=-24 :)`
2. 
   `5(-4)+3(-5)=-35 :)`

So it is true, making (-4 , -5) your point of intersection.

hope it helps