Solve these systems Express your solutions using sets a Solv

Solve these systems, Express your solutions using sets.

a) Solve using algebra

{5x-y=6

2x+3y=-1

Given that

5x - y = 6 2x + 3y = - 1

y = 5x - 6

Substitute y= 5x - 6 in

2x + 3y = - 1

2x + 3 (5x - 6 ) = - 1

2x + 15x - 18 = -1

17x = -1 + 18

17x = 17

x = 1

Substitute x = 1 in

y = 5x - 6

y = 5(1) - 6

y = 5 - 6

y = -1

Therefore,

Solutions are { x } = { 1 } , { y } = { - 1 }