To solve this system of equations, we can set them equal to each other and then solve for one variable:
3x + 4y = 61 4y + 3x = 72
From the second equation, we can solve for y: 4y = 72 - 3x y = (72 - 3x) / 4
Now we can substitute this expression for y into the first equation: 3x + 4((72 - 3x) / 4) = 61 3x + 72 - 3x = 61 72 = 61 This is a contradiction, so there is no solution to this system of equations.
To solve this system of equations, we can set them equal to each other and then solve for one variable:
3x + 4y = 61
4y + 3x = 72
From the second equation, we can solve for y:
4y = 72 - 3x
y = (72 - 3x) / 4
Now we can substitute this expression for y into the first equation:
3x + 4((72 - 3x) / 4) = 61
3x + 72 - 3x = 61
72 = 61
This is a contradiction, so there is no solution to this system of equations.