Question

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

Answer 1

Answer:

$(-4,-5 )$

Step-by-step 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