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ehidna [41]
3 years ago
13

What is the solution to this system of equations?

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

(x,y) = (3, 1/2)

Step-by-step explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations..

To solve this, add the equations;

x + 2x + 2y - 2y = 4 + 5

3x = 9

x = 3

substitute the value of x into the first equation,

3 + 2y = 4

2y = 4 -3

2y = 1

y = 1/2

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The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?
RideAnS [48]

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

Then factorise completely

Look at the photo above

4 0
2 years ago
Given the system of equations 4x+2y=8 and 5x-3y=4, what is the value of x
MArishka [77]
◆ LINEAR EQUATIONS IN TWO VARIABLES ◆


given \: the \: sytem \: of \: equation \:  -  \\  \\ 4x + 2y = 8 \:  \\ therefore   \\ \\ \: 2x + y = 4   \:  \:  \:  -  -  - eq(1)\\  \\ 5x - 3y = 4 \:  \:  \:  \:  -  -   - eq(2) \\  \\ multiplying \: eq(1) \:  \: by  \:  \:  - 3 \:   \\  \\ we \: get \:   -  \\  \\  - 6x - 3y =  - 12 \:  \:  \:  -  -  - eq(3) \\  \\ solving \: eq(2) \: and \: eq(3) \: simultaneously \\  \\ we \: get \:  -  \\  \\ 11x = 16 \\  \\ x =  \frac{16}{11}  \:  \:  \:  \:  \: ans.
8 0
3 years ago
How can you know if this equation is true?<br><br> 1/3+1/5=2/8=1/4
Harman [31]

By finding like denominators, you can add the fractions on each side. Then, compare by cross multiplying.

6 0
2 years ago
For a normal distribution,
Anni [7]

Answer:

1.282, -0.5244,...

Step-by-step explanation:

We know that Z is a standard normal variate with mean =0, and std dev =1

a) z-score separates the highest 10% from the rest of the scores

= 90th percentile = 1.282

b) z-score separates the lowest 30% from the rest of the scores

= 30th percentile = -0.5244

c) z-score separates the lowest 40% from the rest of the scores

= 40th percentile = -0.2533

d) z-score separates the lowest 20% from the rest of the score

=20th percentile = -0.8416

7 0
2 years ago
Help me do this i will pick brailest if right and it is 45 points!
sweet-ann [11.9K]

Answer:

8/21

Step-by-step explanation:

7 0
3 years ago
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