Answer:
2
Step-by-step explanation:
that is the least common denominator
Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,
)
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
Reflection and translation
I just did one of these. I guessed that normal form is

Here' that's


Choice b
<h3>Answer:</h3>
2.4 potatoes/pound
<h3>Explanation:</h3>
The unit rate is the slope of the line. The slope of the line is ...
... (change in y-value)/(change in x-value)
... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)
... = (24 potatoes)/(10 pounds)
... = 2.4 potatoes/pound
_____
The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:
... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound