4x+y=15,3x+5y=41 solve by substitution and check the solution

{x, y} = {2,7}

Step-by-step explanation:

/ / Solve equation [1] for the variable y

[1] y = - 4x + 15

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

[2] 3x + 5• (-4x+15) = 41 [2] - 17x = - 34

/ / Solve equation [2] for the variable x

[2] 17x = 34 [2] x = 2

/ / By now we know this much:

x = 2 y = - 4x+15

/ / Use the x value to solve for y

y = - 4 (2) + 15 = 7