Question

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

Answer 1

x = 8, y = 8

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

`x=y=8`

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=(16)/(2)`

`x=8`

So,
`x=y=8`