Answer:
Step-by-step explanation:
You can multiply -3 by 4 and then multiply the result of that by 5, or you could write -3, 4 and 5 in other orders (6 possible orders) and obtain the same result.
I would multiply (-3) by 4, obtaining -12, and then multiply this -12 by 5, obtaining -60. But I could also multiply 5 by 4, obtaining 20, and then multiply this 20 by -3, obtaining the same -60.
What I have described here are the commutative and associative properties of multiplication.
Answer:
1. Substitute y = -3x +4 for y in the first equation
2. Combine like terms and isolate x
3. Substitute in x into the 2nd equation to get y
Step-by-step explanation:
1. Substitute y = -3x +4 for y in the first equation
2x- (-3x+4) = 6
2. Combine like terms
5x -4 = 6
5x -4 +4 = 6+4
5x=10 Divide by 5 to isolate x
5x/5 =10/5
x=2
3. Substitute in x into the 2nd equation to get y
y = -3x +4
y = -3(2) +4
y = -6+4
y=-2
(2,-2)
Answer:
Step-by-step explanation:
Let's say the Physics book costs $x
The Chemistry book will cost $x - $6
Two such Chemistry books will cost;
2($x - $6) = $(2x - 12)
Three such Physics books cost $3x
$(2x - 12) + $3x = $123
$5x - $12 = $123
$5x = $111
x = $22
So the Physics book costs; $22
and the Chemistry book costs $22
- 6 = $16
Answer:
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Step-by-step explanation:
Yes they are the both equal 5.25 when divided