Equation 1) -x - y - z = -8
Equation 2) -4x + 4y + 5z = 7
Equation 3) 2x + 2z = 4
Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)
Multiply ALL of equation 1 by four.
1) 4(-x - y - z = -8)
Simplify.
1) -4x - 4y - 4z = -32
Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.
1) -4x - 4y - 4z = -32
2) -4x + 4y + 5z = 7
Add these equations together, and create a fourth equation.
4) -8x - z = -25
Now, notice how both equations 3 & 4 have the same two variables (x, z).
So, we must look at these equations together.
3) 2x + 2z = 4
4) -8x - z = -25
Multiply ALL of equation 4 by 2.
4) 2(-8x - z = -25)
Simplify.
4) -16x - 2z =-50
3) 2x + 2z = 4
Now, add the equations together, so that we can solve for x.
-14x = -42
Divide both sides by -14.
x = 3
Now, plug in 3 for x into our 3rd equation.
3) 2x + 2z = 4
3) 2(3) + 2z = 4
Simplify.
6 + 2z = 4
Subtract 6 from both sides.
2z = 4 - 6
Simplify.
2z = -2
Divide both sides by 2.
z = -1
Now, plug in -1 for z & 3 for x in our 1st equation.
1) -x - y - z = -8
-(3) - y - (-1) = -8
Simplify.
-3 - y + 1 = -8
Simplify.
-2 - y = -8
Add 2 to both sides.
-y = -8 + 2
Simplify.
-y = -6
Divide both sides by -1.
y = 6
SO :
x = 3, y = 6, z = -1
~Hope I helped!~
Answer:
D
Step-by-step explanation:
I just did it and got it right
The percent of owns home is 65.51% and percent of rents home is 34.48% if the total number of US households is 116.
<h3>What is percentage?</h3>
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
From the table:
Total number of US households = 71+13+5+27 = 116
Owns home = 71+5 = 76
Percent of owns home = (76/116)×100 = 65.51%
Rents home = 13+27 = 40
Percent of rents home = (40/116)×100 = 34.48%
Thus, the percent of owns home is 65.51% and percent of rents home is 34.48% if the total number of US households is 116.
Learn more about the percentage here:
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Answer:
h= 42+m
h= 59cm
Step-by-step explanation:
Answer:
I use 2 mainly from bath and body.
Step-by-step explanation:
Pretty as a peach, and warm vanilla sugar
