Can someone help with these algebra 2 problems?

Question

need help on these problems:

find the inveres of y = 2x-4

put these equations in y = mx+b: x + y = 1 2x-y = 8 18x-42y=24

perform the indicated operations: (2 + 3i) (1-4i)

solve 1/3 x^2 + 1 = 33

solve the equation: 5(3 - 4x)= 7-(4 - x)

Answer 1

1)y=2x-4

Add 4 to both sides:
y+4=2x

Divide 2 from both sides:
x=1/2y+2

2)y=-x+1
y=2x-8
For the last one, you need to subtract 18x from both sides:
-42y=-18x+24
Divide -42 from both sides:
y=3/7x-4/7

3)Just use the FOIL method:
2-8i+3i-12i^2
12i^2-5i+2

4)1/3x^2+1=33
Subtract 1 from both sides:
1/3x^2=32

Multiply 3 from both sides:
x^2=96

Just square both sides:
√x^2=±√96
x=±4√6

5)5(3-4x)=7-(4-x)
Use distributive property:
15-20x=7-4+x
15-20x=3+x

Subtract x from both sides:
15-21x=3

Subtract 15 from both sides:
-21x=-12

Divide -21 from both sides:
x=-12/-21=4/7

Check:
5(3-4(4/7))=7-(4-4/7)
5(21/7-16/7)=7-(28/7-4/7)
5(5/7)=7-(24/7)
25/7=49/7-24/7
25/7=25/7

I hope this helps!

Answer 2

5(3 - 4x)= 7-(4-x)


Simplifying
5(3 + -4x) = 7 + -1(4 + -1x)
(3 * 5 + -4x * 5) = 7 + -1(4 + -1x)
(15 + -20x) = 7 + -1(4 + -1x)
15 + -20x = 7 + (4 * -1 + -1x * -1)
15 + -20x = 7 + (-4 + 1x)

Combine like terms: 7 + -4 = 3
15 + -20x = 3 + 1x

Solving
15 + -20x = 3 + 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
15 + -20x + -1x = 3 + 1x + -1x

Combine like terms: -20x + -1x = -21x
15 + -21x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
15 + -21x = 3 + 0
15 + -21x = 3

Add '-15' to each side of the equation.
15 + -15 + -21x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + -21x = 3 + -15
-21x = 3 + -15

Combine like terms: 3 + -15 = -12
-21x = -12

Divide each side by '-21'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Answer 3

i got no idea 4 the first 4 but
5(3 - 4x)= 7-(4 - x)
15-20x=7-4+x (a minus sign is eqivalent to -1)
15-20x=3+x
15=3+21x
15-3=21x
12=21x
12/21=x

Answer 4

12y - (6-9y) > 12 12y - 6 + 9y >12 21y - 6 > 12 21y > 18 y > 18/21 2(x+8) - 3(x-2) 2x + sixteen - 3x +6 -x + 22 12 - 2(x-3x) + 6 12 - 2x + 6x + 6 18 + 4x Your final question isn't written out wisely