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denis23 [38]
3 years ago
9

solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

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7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
3 years ago
The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.
ella [17]

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

5 0
3 years ago
Solve 4 1/2 + 1 3/5.
solmaris [256]

Answer:

the answer is 6 1/10

Step-by-step explanation:

7 0
3 years ago
What is 965,000,000,000,000 in scientific notation?
bogdanovich [222]
<h3><u>QUES</u><u>TION</u><u>:</u></h3>

What is 965,000,000,000,000 in scientific notation?

9.65×10−14

9.65×10−12

9.65×1012

9.65×1014

<h3><u>ANSWER</u><u>:</u></h3>

\large \sf \orange{9.65 \times 10 {}^{14} } \sf \: is \: the \: scientific \: notation \: of \: 965000000000000

<u>Addit</u><u>ional</u><u> </u><u>info</u><u>:</u><u> </u>Remember that SCIENTIFIC NOTATION is in the form a × 10^b where 1 ≤ a < 10 and b is an integer.

HOPE THIS HELP YOU! HAVE A NICE DAY

~kimtaetae92~

5 0
3 years ago
The ratio of the sales of black coffee to sugar coffee to milk coffee is 3:7:5. The total sales of the three coffees is 300 cups
Virty [35]
Answer = $55
Because 3 + 7 + 5 = 15
The 3 = black coffee
The 7 = sugar coffee
And the 5 = milk coffee
So then u do 5/15 simplified = 1/3
So then do 1 /3 of $165 = $55
7 0
3 years ago
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