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
It will be smaller than 1/4.
The reason being that 7/8 is a fraction which is less than 1, and that it can only be greater than 1/4 when the multiplying number, is a number which is greater than 1.
Note: When a positive number is multiplied by a number which is less than 1, it makes the positive number to be smaller and
When a positive number is multiplied by a number which is greater than 1, it makes the positive number to be bigger.
When a number has the |absolute value|, it refers to the amount of units the number is from 0. (you can think of a timeline)
|3| is 3 units away from zero
|-5| is 5. it is NOT -5 units from 0, since a number cannot be -5 units away.
Basically, these lines | x | will make the number positive.
answer
-5,-2, | -2 |, | 3 |, 8
Answer:
x=3
Step-by-step explanation:
7x=12+3x
4x=12
x=3
Answer:
Given
length of rectangular sheet of paper is 12 (1/2) i.e. (25/2)
Breadth of rectangular sheet of paper is 10 (2/3) i.e. (32/3)
But we know that perimeter of rectangle = 2 (length + breadth)
Perimeter of rectangular sheet = 2 [(25/2) + (32/3)]
LCM of 2 and 3 is 6,
by taking this and simplifying we get
Perimeter = 2[(25 × 3)/6 + (32 × 2)/6]
= 2[(75/6) + (64/6)]
= 2(139/6) = (139/3)
= 46 (1/3) cm
