Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
Answer:
y = 2w - 1 + aw
Step-by-step explanation:
Given
y - aw = 2w - 1 ( isolate y by adding aw to both sides )
y = aw - 1 + aw
Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6
3x - 6y = 36
2x + 6y = 19
(add)
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
I hope this helps! Let me know if you need me to explain why I did some things :)
Answer:
y=-3x+4
Step-by-step explanation:
im assuming that you need the equation of the table
to find slope, y2-y1/x2-x1 10-4/-2-0
6/-2=-3 slope=-3
y=mx+b just sub in the numbers from a point in the table
10=-3(-2)+b
10=6+b
b=4
y=-3x+b