Question

Solve the system by elimination

x - y = -1
4x + 6y = -74

a) no solution

b) infinite number of solutions

Answer 1

9514 1404 393

Answer:

one solution: (x, y) = (-8, -7)

Explanation:

We can add 6 times the first equation to the second equation in order to eliminate y.

6(x -y) +(4x +6y) = 6(-1) +(-74)

10x = -80

x = -8

y = x+1 = -7 . . . . . solve the first equation for y; substitute x

The one solution is (x, y) = (-8, -7).