Question

Solving equations using elimination or substitution y = -8x2x + 4y = 0

Answer 1

Step-by-step explanation

We need to solve the following system of equations:

`\begin{gathered} y=-8x \\ 2x+4y=0 \end{gathered}`

We can use the substitution method. The first equation gives us an expression of y dependent on x. We can take the second equation and replace y by that expression so we obtain an equation with only one variable:

`\begin{gathered} 2x+4y=0 \\ 2x+4\cdot(-8x)=0 \\ 2x-32x=0 \\ (2-32)x=0 \\ -30x=0 \end{gathered}`

Then we divide both sides by -30:

`\begin{gathered} (-30x)/(-30)=(0)/(-30) \\ x=0 \end{gathered}`

So we have found that x=0. We use this value in the expression of y:

`y=-8x=-8\cdot0=0`

So we have x=0 and y=0.

Answer

Then the answer is (0,0).