Question

does the system have one solution, no solution, or an infinite number of solutions?
5x-y=10
x+6y=33
a. one b. infinite numbers c. none

Answer 1

a. one
x=3 and y=5
Solve the first equation for y in terms of x and plug the result into the second equation and solve it for the numerical value of x. Then replace x in the first equation with 3 and solve it for y.

Check your answers by replacing the numerical values for x and y in each of the equations. In each case the number on the left side should equal the number on the
right side.