Question

1. y = –3x + 6 y=x+22. y=2x+6 y=2x-13. y=-x+4 2y=-2x+8 How many sutions have these equations

Answer 1

y = -3x + 6

y = x + 2

-3x + 6 = x + 2

6 - 2 = x + 3x

4 = 4x

x = 1

y = -3(1) + 6 = -3 + 6 = 3

x = 1 and y = 3 ==> This has one solution

y = 2x + 6

y = 2x -1

2x + 6 = 2x -1

6 = -1 ====>> This is false, therefore no solution

y = -x + 4

2y = -2x + 8 ==> y = -x + 4

-x + 4 = -x + 4 ==> This is true for any value of x, so it has an infinite numbr of solutions