Answer:
The solution of the given system is (x,y) = (1,4)
Step-by-step explanation:
Here, the given system of equation is:
x = -3 + y
26 x - 5 y = 6
Now, substitute x = -3 + y in the second equation , we get
26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6
or, 26(-3) + 26(y) - 5y = 6
⇒ - 78 + 26 y - 5y = 6
⇒ 21 y = 84
⇒ y = 84 / 21 = 4 or , y = 4
So x = -3 + y = -3 + 4 = 1
Hence, the solution of the given system is (x,y) = (1,4)
Answer:
20 biscuits are made from 1 cup of biscuit mix.
Step-by-step explanation:
Divide 40 by 2 to get the unit rate, which is 20.
Hope this Helps!
First convert -5/6(b+1) to -5/6b-5/6 which looks like:
1/3b+2/3b-5/6b-5/6
second add 1/3b+2/3b=3/3b, convert to 6/6b so:
6/6b-5/6b-5/6
subtract 6/6b-5/6b = 1/6b so:
1/6b-5/6 is the answer
By rewriting the given line, we can see that the slope is equal to -1/2 or -0.5
<h3>
How to get the slope of the given line?</h3>
Remember that a line is:
y = a*x + b
Where a is the slope and b is the y-intercept of the line, which is the point where the line intersects the y-axis.
Then, we can rewrite our equation:
x + 2y = 16
to:
2y = 16 - x
y = (16 - x)/2
y = (-1/2)*x + 8
Comparing with the general line equation, we can see that the slope is -1/2.
If you want to learn more about linaer equations:
brainly.com/question/1884491
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This is a 30-60-90 triangle, in which the side opposite of the 90 degrees is the longest side (2), the side opposite of the 60 degrees is the √3 (2√3 in this case), and the last side (opposite of the 30 degrees) is the (1)
2√3/√3 = 2
So the side opposite of the 30° = 2
a) the width is 2 miles
The length of the side walk is 2(a)
a = 2
2(2) = 4
b) The length of the sidewalk is 4 miles
hope this helps