31.3k views
1 vote
Solve the following system of equations.
{x+4y=0
{16y=−4x

1 Answer

3 votes

Answer:answer (0,0)

Linear equations with two unknowns

Enter an equation or problem

x+4y=0;16y−4x

We think you wrote

x+4y=0;16y-4x

This solution deals with linear equations with two unknowns.

Solution found

{x,y}={0,0}

See steps

Step by Step Solution

System of Linear Equations entered :

[1] x+4y=0

[2] 16y-4x

Equations Simplified or Rearranged :

[1] x + 4y = 0

[2] -4x + 16y = 0

Graphic Representation of the Equations :

4y + x = 0 16y - 4x = 0

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = -4y

// Plug this in for variable x in equation [2]

[2] -4•(-4y) + 16y = 0

[2] 32y = 0

// Solve equation [2] for the variable y

[2] 32y = 0

[2] y = 0

// By now we know this much :

x = -4y

y = 0

// Use the y value to solve for x

x = -4(-0/32766) = 0

Solution :

{x,y} = {0,0/32766}

User Andreas Profous
by
7.6k points