Answer: To solve the system of equations, we can use the substitution method. We'll start by isolating one of the variables in one of the equations.
The first equation is 3x - 2y = 17
We can solve for x by adding 2y to both sides:
3x = 17 + 2y
x = (17 + 2y)/3
We can substitute this expression for x into the second equation:
5((17 + 2y)/3) + 3y = 5
Simplifying, we get:
50 + 10y + 3y = 5
13y = -45
y = -3.5
Now we can substitute this value of y into the equation we found earlier for x:
x = (17 + 2(-3.5))/3
x = (17 - 7)/3
x = 10/3
x = 3.333
So the solution of the system of equations is (x,y) = (3.333, -3.5)
Which is not in the options provided, so the answer is no solution.
Explanation: