To solve this system of equations, we can use the method of substitution or elimination.
Let's use the substitution method:
From the first equation: 6x - 5y = 16 Solve for x: 6x = 16 + 5y x = (16 + 5y) / 6
Now, substitute this expression for x into the second equation: 3(16 + 5y) / 6 + 14y = 74 Multiplying through by 6 to get rid of the fractions: 3(16 + 5y) + 84y = 444 48 + 15y + 84y = 444 99y = 396 y = 4
Now, substitute y back into the first equation to solve for x: 6x - 5(4) = 16 6x - 20 = 16 6x = 36 x = 6
Therefore, the solution to the system of equations is x = 6, y = 4.
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the substitution method:
From the first equation:
6x - 5y = 16
Solve for x:
6x = 16 + 5y
x = (16 + 5y) / 6
Now, substitute this expression for x into the second equation:
3(16 + 5y) / 6 + 14y = 74
Multiplying through by 6 to get rid of the fractions:
3(16 + 5y) + 84y = 444
48 + 15y + 84y = 444
99y = 396
y = 4
Now, substitute y back into the first equation to solve for x:
6x - 5(4) = 16
6x - 20 = 16
6x = 36
x = 6
Therefore, the solution to the system of equations is x = 6, y = 4.