solve by substitution

Question

-6x-2y=14

x-2y=0

Answer 1

-6x - 2y = 14        eq1

x - 2y = 0             eq2

 

 

Substitute eq2 into eq1.  This will give us an equation in terms of one variable rather than two variables. Then solve for that variable.

 

-6(2y) - 2y = 14

-12y - 2y = 14

 

-14y = 14

   y = -1

 

Substitute this value of y into eq2.

 

x = 2y

x = 2(-1)

x = -2

 

The solutions are

 

x = -2

y = -1