Question

$6x+2y=-3\\ 4x-7y=23$

Answer 1

Answer:

{x,y} = {1/2,-3}

Step-by-step explanation:

We think you wrote:

4x-7y=23;6x+2y=-3

This deals with linear equations with two unknowns.System of Linear Equations entered :

[1] 4x - 7y = 23

[2] 6x + 2y = -3

Graphic Representation of the Equations :

-7y + 4x = 23 2y + 6x = -3 // Solve equation [2] for the variable y

(DO THE GRAPH)

[2] 2y = -6x - 3

[2] y = -3x - 3/2

// Plug this in for variable y in equation [1]

[1] 4x - 7•(-3x-3/2) = 23

[1] 25x = 25/2

[1] 50x = 25

// Solve equation [1] for the variable x

[1] 50x = 25

[1] x = 1/2

// By now we know this much :

x = 1/2

y = -3x-3/2

// Use the x value to solve for y

y = -3(1/2)-3/2 = -3