Question

Solve the system by substitution.
y=x
-2x+4y=16

Answer 1

Answer:

x = 8, y = 8

Step-by-step explanation:

Since we know that y = x, we can replace x in the second equation with the variable y. Now the second equation looks like this:

-2y + 4y = 16

Now we have to solve for y

Combine the like terms: 2y = 16

Divide by 2 on both sides to isolate y: y = 8

Now replace y in the first equation to find the value of x: 8 = x

Answer 2

Answer:

$x=y=8$

Step-by-step explanation:

Given Equations:

   $-2x+4y=16$      Equation:1

          $y=x$          Equation:2

Solving Equation:1

       $-2x+4y=16$

As $x=y$, so taking 'y' as 'x'

       $-2x+4x=16$

          $2x=16$

           $x=\frac{16}{2}$

            $x=8$

So,   $x=y=8$