Question

X-3y=-24
5x+8y=-5

this equation is substitution, need help :))

Answer 1

To solve the system of equations using substitution, solve the first equation for x, substitute this expression into the second equation, find the value of y, and then back-substitute to find x. The solution is x = -9 and y = 5.

Step-by-step explanation:

To solve the system of equations by substitution, we first need to solve one equation for one variable and then substitute this expression into the other equation. We can start by solving the first equation for x:

x - 3y = -24

=> x = 3y - 24

Now we substitute this expression for x into the second equation:

5x + 8y = -5

=> 5(3y - 24) + 8y = -5

=> 15y - 120 + 8y = -5

=> 23y = 115

=> y = 115 / 23

=> y = 5

Now we know the value of y, we can substitute it back into the expression for x:

x = 3(5) - 24

=> x = 15 - 24

=> x = -9

So, the solution to the system of equations is x = -9 and y = 5.

Answer 2

x=-9, y=5. (-9, 5).

Step-by-step explanation:

x-3y=-24

5x+8y=-5

--------------

x=-24+3y

5(-24+3y)+8y=-5

-120+15y+8y=-5

-120+23y=-5

23y=-5-(-120)

23y=-5+120

23y=115

y=115/23

y=5

x-3(5)=-24

x-15=-24

x=-24+15

x=-9