Which of the following is less than 7/8 and greater than 1/3

Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

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7 0

3 years ago

Please help with this 1 question it's 20 points.

Elden [556K]

JIG is clockwise around the figure, as is DEF, so there is no reflection involved. The midpoint between any two corresponding vertices is (1, 4), so that is the center of rotation. Figure DEF is "upside down" from JIG, so rotation is 180°.

The 1st selection is appropriate.

7 0

4 years ago

Read 2 more answers

4. Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a c

babunello [35]

Answer:

I think that the answer is A.

Step-by-step explanation:

6 0

3 years ago

Udrey used compensation to mentally solve the subtraction problem 5.35−0.07

Licemer1 [7]

The last step you need to do is 5.25+0.03, because you took away 0.03 more than what the question asked so you need to add the 0.03 back, which gets you the final result of 5.28.

6 0

3 years ago

Calculate the distance between each given pair of points. Round your answer to the nearest tenth, if necessary.

Ksju [112]

The answer is 5

Here are the steps:

First off, we will be using the distance formula of
$d=\sqrt{(x_ {2}- x_{2}) ^{2}+( y_{2}- y_{1})^2 }$

So we have the ordered pairs of (3,1) and (6,5)

Once you plug them into the formula it should look like this:
$d= \sqrt{(6-3)^2+(5-1)^2}$

Now we do the math inside the parenthesis and end up with:
$d=\sqrt{3^2+4^2}$

Then you multiply by the power and simplify to get:
$d=\sqrt{25}$

And the $\sqrt{25}$ =5

So your answer is 5

8 0

3 years ago