Answer:
x = 14
y = -7
z = -3
but this is none of the provided answer options !
Step-by-step explanation:
it's really easy by principle. it's just some work to do.
we try to find equations to express one variable in terms of the others.
but one thing there is : your teacher made a mistake.
the right solution is x = 14, y = -7, z = -3
your teacher made a typo at d.
but the right answer should be d.
just to give you an idea how this can be done (and also to prove that there is a mistake by the teacher):
we can directly try to transform one expression into one that describes x by y and z.
and then another to describe e.g. z by y. and then solve the third one just for y. and then we get the other 2 by these other expressions.
or we can e.g. add or subtract one equation to/from another. this is one of these cases, because we can find really simple expressions that way :
we do
5x + 6y + 7z = 7
- (3x + 4y + 3z = 5)
- (2x + 2y + 3z = 5)
---------------------------
0x + 0y + z = -3
=> z = -3
3x + 4y - 3×3 = 5
3x = -4y + 14
x = (-4y + 14)/3
2×(-4y + 14)/3 + 2y - 9 = 5
(-8y + 28)/3 + 2y = 14
-8y + 28 + 6y = 42
-2y = 14
y = -7
x = (-4×-7 + 14)/3 = (28+14)/3 = 42/3 = 14
Answer:
Let's solve for x.
5x−4y=−23−5x+9y
Step 1: Add 5x to both sides.
5x−4y+5x=−5x+9y−23+5x
10x−4y=9y−23
Step 2: Add 4y to both sides.
10x−4y+4y=9y−23+4y
10x=13y−23
Step 3: Divide both sides by 10.
10x
10
=
13y−23
10
x=
13
10
y+
−23
10
Answer:
x=
13
10
y+
−23
10
Step-by-step explanation:
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Heterogeneous and homogeneous
Multiplicative Inverse Property
Answer: Option C.
<u>Explanation:</u>
A multiplicative reverse is a reciprocal. A complementary is one of a couple of numbers that when increased with another number equivalents the number 1. The multiplicative converse property expresses that for each number that isn't zero, x increased with 1/x will rise to 1.
In mathematics, a multiplicative backwards or corresponding for a number x, meant by 1/x or x−1, is a number which when increased by x yields the multiplicative personality, 1. ... For instance, the corresponding of 5 is one fifth (1/5 or 0.2), and the equal of 0.25 is 1 partitioned by 0.25, or 4.
Answer:
Part 6)
case a) 
case b) 
Part 7)
case a) 
case b) 
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
Part 6)
case a) P(odd)
In this problem we have
substitute
case b) P (less than 3)
In this problem we have
substitute
Part 7)
case a) P(yellow)
In this problem we have
substitute
case b) P(green and red)
therefore
