which method would be the simplest way to solve the system?
7x+5x=19
-7x-2y=-16
The simplest way to solve this system of equations would be to use the method of substitution.
First, we can simplify the first equation:
7x + 5x = 19
12x = 19
x = 19/12
Next, we substitute this value of x into the second equation to solve for y:
-7(19/12) - 2y = -16
-133/12 - 2y = -16
To isolate y, we can add 133/12 to both sides of the equation:
2y = 133/12 + 16
2y = 133/12 + 192/12
2y = 325/12
Finally, we divide both sides by 2 to find the value of y:
y = (325/12) / 2
y = 325/24
So the solution to the system of equations is x = 19/12 and y = 325/24.