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3 years ago

The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?

1 answer:

3 0

The given condition is:
If 5x + 7 = 2x =1, then 3x + 7 = -1
=> This given equation represent a subtraction property of equality.
=> 5x +7 =2x-1
=> 5x – 2x + 7 = -1
=> 3x + 7 = -1

What we did was we subtracted 2x from 5x to get the 3x
Subtraction property of equality is a mathematical process in where we subtract numbers from both sides that contains the same expression.
Like 5x and 2x, since they have the same equation, we both subtracted both numbers and the rest remains as it is.

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Question 1. In the below system, solve for y in the first equation.

Phantasy [73]

Answer for Question (1):

The system of equations: x+3y=6

2x-y=10

Solve the first equation x+3y=6 for y:

Subtracting x on both sides,

x+3y-x=6-x

3y=6-x

Now dividing 3 on both sides, we get

y=2-x/3 = negative one third x + 2

Thus y= negative one third of x +2

Answer for question (2):

The system of equation :

5x-3y=-3 --> (1)

2x-6y=-6 -->(2)

Multiply equation (1) by 2, we get 10x-6y=6.

Subtracting (1) by (2), we get 8x=0 implies x=0.

Plug in x=0 in equation (1), 0-3y=-3

Dividing -3 on both sides,

y=-3/-3=1

So the solution of y is 1.

Answer for Question (3):

System of equation:

7x-2y=-3 (1)

14x+y=14 (2)

Multiply (2) by 2,

28x+2y=28 (3)

Adding (1) and (3), we get 35x=25

Now dividing 35 on both sides, x=25/35=5/7.

Plug in x=5/7 in equation (1), we get 5-2y=-3

-2y=-3-5

-2y=-8

Dividing -2 on both sides,

y=4

Thus the solution of this system of equation as (5/7,4).

Answer for question (4):

x + 3y = 9 ---> (1)

3x − 3y = −13 ---> (2)

Adding equation (1) and (2), we get

4x=-4

Dividing 4 on both sides,

x=-1

Plug in x=-1 in equation (1), we get

-1+3y=9

Adding 1 on both sides,

3y=9+1=10

Now dividing 3 on both sides,

y=10/3.

so the solution is (-1,10/3).

Answer for question (5):

System of equation is 4x − y = 3 (1)

7x − 9y = −2 (2)

consider the first equation 4x-y=3

Adding y on both sides, 4x=3+y

subtracting 3 on both sides, we get y=4x-3

Substitute y=4x-3 in equation (2),

7x-9(4x-3)=-2

7x-36x+27=-2

Combine the like terms,

-29x+27=2

Adding 27 on both sides,

-29x=-29

dividing -29 on both sides,

x=1

Plug in x=1 in y=4x-3,

y=4(1)-3=1

Then the solution is (1,1).

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30 POINTS! Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6 Answer choices: 42, 24, 4, 16

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Answer: 16

Step-by-step explanation:

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Answer:

9 grams

Step-by-step explanation:

We can use these equations:

y = ax

Where y is the total amount of baking soda (in mg)
Where a is the number of servings
Where x is the amount of baking soda in one single serving (in mg)

Here we know that y = 1800 and a = 2, so we will need to solve for x

Solving for x we get $x= \frac{y}{a}$ and plugging in our known values we get $x = \frac{1800}{2}$ and this simplifies to 900
This means one serving contains 900 mg of baking soda

We can now change the equation to solve for the total amount of baking soda required to serve 10 people

We know that a = 10 and x = 900
The equation is already solved for y, so plugging in our new values we have y = (10)(900) = 9000 mg
The recipe will require 9000 mg in order to serve 10 people

Now there are 1000 mg in 1 g, so converting mg to g we have 9000 mg is equivalent to 9 grams

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Answer:

d. 13 inches

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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