Answer:
Step-by-step explanation:
24n + 32w = (3n + w)
We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.
Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that
24n + 32w = 8(3n + 4w)
Length of rectangle = 5 less than 2x width
Perimeter = 146 cm
<u>Equations we will use...</u>
w = width
(2w - 5) = length (l)
perimeter (p) = 2(l + w)
<u>Substitute equation for </u><u>length</u><u> into equation for </u><u>perimeter</u>
p = 2(l + w)
146 = 2((2w - 5) + w) [use distributive prop.]
146 = 4w - 10 + 2w [combine like terms]
146 = 6w -10 [solve for w]
156 = 6w
w = 26 cm
<u>Now substitute width back into the </u><u>equation</u><u> for length...</u>
l = 2w - 5
l = 2(26) - 5
l = 47
Double check to make sure values added up to 146 cm
w + w + l + l = 146
26 + 26 + 47 + 47 = 146
146 = 146
Therefore, the width is 26 cm and the length is 47 cm.
Answer:
16
Step-by-step explanation:
Take second equation here,
2x + 9 = -12
2x = -12 - 9
2x = -21
Multiply by 2,
4x = -42
Now, substitute the vaue of 4x in 1st equation,
-42 - y = 2
-y = 2 + 42
y = -44
In short, Your Answer would be -44
Hope this helps!