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

we have

x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1

6y=10−3x------> equation 2

equation 1 and equation 2 has the same slope

the lines are parallel

slope m=-3/6-----> m=-1/2

so

there are no solution

the answer is the option

b. There is no solution