Question

Solve for x and y:

x=5−2y

6y=10−3x

Select one:
a. x=5,y=0
b. There is no solution.
c. The solution is (0, -5).
d. There are an infinite number of solutions.

Answer 1

There are no solutions

Answer 2

Looking at

x=5−2y

6y=10−3x

We see that the first equation has already been solved for x. This suggests subst. 5-2y for x in the 2nd equation: 6y = 10 - 3(5-2y), or

6y = 10 - 15 + 6y, which can never be true. This system has no solution.