Answer:
1. a= 7, one solution
2. x=x, infinitely solutions
3. y=3, one solution
4. x=6, one solution
5. no solution
6. k = 2, one solution
Step-by-step explanation:
1.
7a - 6 = 43
7a = 49
one solution
a = 7
2.
3x + 4 = 3x + 4
3x = 3x
x = x
infinitely solutions
3.
4(2y - 4) = 5y + 2
8y - 16 = 5y + 2
3y -16 = 2
3y = 18
one solution
y= 6
4.
multiply 2 on both sides
5x + 6 = x + 30
4x = 24
one solution
x = 6
5.
4e - 19 = 4(e-4)
4e - 19 = 4e -16
-19 ≠ -16
no solution
6.
10k - 2(k+3) = 10
10k -2k - 6 = 10
8k - 6 = 10
8k = 16
one solution
k = 2