Respuesta :

thepingu

Answer:

[tex]x = 6[/tex]

[tex]y = -7[/tex]

Step-by-step explanation:

We have the system of equations:

[tex]4x+2y=10\\x=y+13[/tex]

Let's solve by substituting. We know that [tex]x=y+13[/tex], so we can substitute [tex]y+13[/tex] in as [tex]x[/tex] in the equation [tex]4x+2y=10[/tex].

[tex]4(y+13) + 2y = 10[/tex]

Simplify this down so that we have [tex]y[/tex] on one side of the equation:

[tex]4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7[/tex]

Now that we know the value of [tex]y[/tex], we can substitute it in to the equation [tex]x = y+13[/tex] to find [tex]x[/tex].

[tex]x = -7+13\\\\x = 6[/tex]

Hope this helped!

nermay7

Answer:  (6,-7)

Step-by-step explanation:

4x +2y = 10  

x = y + 13      Substitute the value of x into the first equation to solve for y.

4(y + 13) +2y = 10   apply the distributive property on the left side

4y + 52 + 2y = 10   Combine like terms on the left side

6y + 52 =  10    Subtract  52 from both sides

       -52     -52

6y = -42  

y= -7  

The value of y so input it into one of the equations to solve for x

4x + 2(-7) = 10  

4x - 14  =  10

       +14    +14

4x = 24

x= 6