Answer:
x = 13
y = -10
z = -7
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
Add the first and the third equations to eliminate x
x+y+z=−4
−x+2y−3z=−12
--------------------
3y -2z = -16 Equation A
Add the second and twice the third equation to eliminate x
2x+3y−2z=10
−2x+4y−6z=−24
----------------------------
7y -8z = -14 Equation B
Take Equation A and multiply by -4
-4*( 3y -2z) = (-16)*-4
-12y + 8z = 64
Add this to Equation B
-12y + 8z = 64
7y -8z = -14
-----------------------
-5y = 50
Divide by -5
-5y/-5 = 50/-5
y = -10
Now using equation A
3y -2z = -16
3*-10 -2z = -16
-30 -2z = -16
Add 30 to each side
-2z = -16+30
-2z = 14
Divide by -2
-2z/-2 = 14/-2
z = -7
Now find x using the first equation
x+y+z = -4
x -7-10 = -4
x -17 = -4
Add 17 to each side
x-17+17 = -4+17
x = 13
Answer:
The required equation is 3y=36 and the tape diagram is shown below.
Step-by-step explanation:
Consider the provided information.
We need to write a multiplication equation that has a solution of 12.
3y=36
We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.
3y÷3=36÷3
y=12
Now check this with the help of tape diagram as shown.
Consider the figure 1.
This represents if 36 had to be split into three groups, how big would each group be?
By the tape diagram we concluded that the value of y is 12.
Answer:

Step-by-step explanation:
The formula of a volume of a cylinder:

r - radius
H - height
We have the height H = 3ft and the radius r = 4ft. Substitute:



This relative frequency is an experimental probability: that of getting a red on a spinner. In 300 spins, we'd expect to get 0.4(300), or 120, reds.
You would do
51-5= 46
then you would divide
46/2= 23
so Susan is
23+5=28
Susan is 28 years old and her sister is 23
28+23=51