4x - 3y = 15

2x + 2y = 4

what is the solution of the system of equations?

System of Linear Equations entered:

[1] 4x - 3y = 15

[2] 2x + 2y = 4

Step-by-step 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}