Respuesta :

Answer:

y = [tex]\frac{-25}{7}[/tex] or -3.571

x = [tex]\frac{10}{7}[/tex] or 1.429

Step-by-step explanation:

x - y = 5

x = 5 + y

Solve for y:

y =  -6x + 5

y =  -6(5 + y) + 5  Substitute x with 5 + y

y = -6(5) - 6y + 5

y = -30 - 6y + 5

y + 6y = -30 + 5

7y = -25

y = [tex]\frac{-25}{7}[/tex] or -3.571

Solve for x:

x = 5 + y

x = 5 + -25/7

x = [tex]\frac{10}{7}[/tex] or 1.429

Step-by-step explanation:

1. make y=-6x+5 equation 1 and make x-y=5 equation 2

2.subtitute equation 1 into equation 2:

x-(-6x+5)=5

3.multiply - into the bracket:

x+6x-5=5

4.transpose -5 to the other side:

x+6x=5+5

x+6x=10

5.Add the like terms which are x and 6x:

7x=10

6.divide both sides by 7:

7x/7=10/7

x=10/7

8.subtitute your answer back to your second equation:

(10/7)-y=5

-y=5-10/7

-y=25/7

9.divide both sides by -

y=-25/7