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torisob [31]
2 years ago
10

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)

Mathematics
1 answer:
Kruka [31]2 years ago
3 0

An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be done in the following manner.

2x+3y=6

3x+5y=10

Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,

2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}

Now, substitute the value of x in the second equation,

3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2

Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.

2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0

Hence, the ordered pair which is the solution of the system of linear equations is (0,2).

Learn more about Equation:

brainly.com/question/2263981

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The 6.6 represents the total of N + 3.4
We subtract the part we know from the whole /sum/total we know to get the other part.
So 6.6 - 3.4 = N
3.2 = N

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Step-by-step explanation:

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What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above?
amm1812

Answer:

option C

0.531

Step-by-step explanation:

Given in the question,

total number of people of age 35 years = 162

Total number of people of age 35 and having haemoglobin 9 or above

162 - 76

86

probability  = 86/162

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Use intercepts to graph the linear equation -2x+7y=-21 Question 2
Anna11 [10]

Answer:

The point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

The point representing the x-intercept is: (10.5, 0)

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

-2x+7y=-21

Determining the y-intercept

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the equation

-2x+7y=-21

-2(0) + 7y = -21

0+7y = -21

7y = -21

divide both sides by 7

7y/7 = -21/7

y = -3

Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the equation

-2x+7y=-21

-2x+7(0) = -21

-2x + 0 = -21

-2x = -21

divide both sides by -2

-2x / -2 = -21 / -2

x = 21/2

x = 10.5

Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

8 0
3 years ago
Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 &lt; − 6
k0ka [10]

5x - 19 \leqslant 1

change

\leqslant  \: to \:  =

given you

5x - 19 = 1

making x the subject by transferring the -19 to the right hand side of the equation

5x = 19 + 1

5x = 20

dividing through by 5

\frac{5x}{5}  =  \frac{20}{5}

x = 4

{{x:x  \leqslant 4}}

also given

- 4x + 3 < -  6

change the operation sign to =

- 4x + 3 =  - 6

- 4x =  - 6 - 3

- 4x =  - 9

dividing through by -4

\frac{ - 4x}{ - 4}  =  \frac{ - 9}{ - 4}

x =  \frac{9}{4}

so the truth set is

{x:x>9/4}.

The < sign changes to > because we divided by a negative number when solving for x

4 0
3 years ago
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