Answer:
Step-by-step explanation:
Subtract 2x
from both sides of the equation.
y=8−2x
x−y=2
Replace all occurrences of y
in x−y=2 with 8−2x
.
y=8−2x
x−(8−2x)=2
Simplify the left side.
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y=8−2x
3x−8=2
Solve for x
in the second equation.
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y=8−2x
x=103
Replace all occurrences of x
in y=8−2x with 103
.
y=8−2(103)
x=103
Simplify 8−2(103)
.
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y=43
x=103
The solution to the system of equations can be represented as a point.
(103,43)
the answer is -35/66
to divide fractions you take the reciprocal of the second fraction (switching the numerator and denominator) and multiply it so the equation turns into
5/6*(-7/11) = -35/66
hope you understand now
Quadrant I or QI
This is tough to explain but here I go
If x and y is positive, it's QI
If x is negative and y is positive it's QII
If x and y are negative, it's QIII
If x is positive and y is negative It's QIV
So the answer is C
Hopes this helps :D
Brian should purchase Choice C of fabric
<em><u>Solution:</u></em>
Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long
So piece of fabric should be between: 49 and 53 inches
- Choice A is
feet long
Let us convert feet to inches
Now convert to inches
We know that,
1 feet = 12 inches
But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice B is
feet long
Now convert to inches
But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice C is
feet long
Now convert to inches
So this 52 inches lies between 49 and 53 inches
So Brian should purchase Choice C of fabric
Answer:
90 hardcover books
Step-by-step explanation:
We can solve this by setting up a couple of equations.
Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.
Using the information in the question, we can write the equations:
1)x = 4y-3
2) x+y=447
Let's rearrange equation 1 so that it is in standard form:
x-4y=-3
And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:
4(x+y=447)
4x+4y=1,788
Then we can add the two equations and solve for x:
1) x-4y=-3
+ 2)4x+4y=1,788
------------------------------------
5x=1,785
x=357
So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):
357+y=447
y=90
And now we know that Tim owns 90 hardcover books.
