Question

4x - 3y = 15
2x + 2y = 4

what is the solution of the system of equations?

Answer 1

{3,-1}

Explanation:

Answer 2

System of Linear Equations entered :

[1] 4x - 3y = 15

[2] 2x + 2y = 4

Explanation:

// Solve equation [2] for the variable y

[2] 2y = -2x + 4

[2] y = -x + 2

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

[1] 4x - 3•(-x +2) = 15

[1] 7x = 21

// Solve equation [1] for the variable x

[1] 7x = 21

[1] x = 3

// By now we know this much :

x = 3

y = -x+2

// Use the x value to solve for y

y = -(3)+2 = -1

Solution :

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