Solve each system to find the answer

Solve Each System To Find The Answer

Answers

Answer 1

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.


Related Questions

1. y = 5x + 2, (2,7)

Answers

y=5x−2 , y=−2x+5

Eliminate the equal sides of each equation and combine.

5x−2=−2x+5

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

7x−2=5y=−2x+5

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

7x=7y=−2x+5

Divide each term by

7

and simplify.

Tap for more steps...

x=1y=−2x+5

Replace all occurrences of x in y=−2x+5 with 1.

x=1y=−2⋅1+5

Simplify −2⋅1+5.

Tap for more steps...

x=1y=3

The solution to the system of equations can be represented as a point.(1,3)

The result can be shown in multiple forms.

Point Form:(1,3)

Equation Form:

x=1,y=3

WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?

Answers

B (sorry if wrong) hope this helps
It’s D

Check the graph, they both are at 4 inches by 6 weeks so that’s the right answer

1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1

Answers

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.

Answers

Answer:

La longitud = 7 metros

La anchor = 10.5 metros

Step-by-step explanation:

La fórmula para el perímetro de un rectángulo es

P = 2L + 2W

L = longitud

A = ancho

P = 35 metros

se sabe que el doble de su ancho es igual a 3 veces su largo.

2A = 3L

Ancho = 3L / 2 = 1.5L

Sustituimos 1.5L por W

35 = 2 L + 2 (1.5 L)

35 = 2L + 3L

35 = 5 litros

L = 35/5

L = 7 metros

Por lo tanto, la longitud = 7 metros

Recuerda

A = 1.5 L

A = 1.5 × 7

A = 10.5 metros

La anchor = 10.5 metros

is this table a function? why or why not?

Answers

No. There has to be only one output for each input. Because the number two is an input twice and has two different outputs, this can not be a function
no because 2 has two different inputs

there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?

Answers

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Calculation of the number of students:

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

Learn more about ratio here: https://brainly.com/question/13111469

Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8

Answers

Answer:

put it right in between the 0 and 0.5

Step-by-step explanation:

Answer:

- 19/8 hope you got it right

HELP ILL GIVE BRAINLIEST

Answers

Answer:

The bottom right table

Step-by-step explanation:

Please answer these questions I will mark brainliest

Answers

1. C

2. A

3. A

i’m pretty sure for 1,2. 3 i’m a little iffy but i think it’s A bc “homogenizing”

What is the equation to a line with a slope of -3 and a y-intercept of 8?

Answers

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+b

(m=slope and b=y-intercept)

Answer:

Step-by-step explanation:

let’s use this equation y = mx + b

where m = slope

and b = y intercept

since slope is -3, m = -3

and since y intercept is 8, b = 8

so the equation is

y = -3x +8

BBBBBBBVVVVVBBBBBBBBBBVV

Answers

Answer:

A. 8(4+2)

Step-by-step explanation:

have a nice day

Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54

Answers

sorry but none are correct

Answer:

The Answer is D 30:54

Step-by-step explanation:

5 times 6 is 30 and 6 times 9 is 54

If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)

A. 4x3 − 31x + 154x3 − 31x + 15

B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15

C.4x3 − 19x + 154x3 − 19x + 15

D.4x3 + 20x2 − 19x +15

Answers

Answer: 4x³-19x+15

Step-by-step explanation:

We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).

[tex](2x+5)(2x^2-5x+3)[/tex]                               [distribute by FOIL]

[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex]           [combine like terms]

[tex]4x^3-19x+15[/tex]

Now we know [tex]4x^3-19x+15[/tex] is the correct answer.

PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.

So basically it wants the y-value :)

Answer:

1.25

Step-by-step explanation:

the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line

Explain when it is appropriate to use a benchmark percent in solving a problem.

Answers

Answer:

The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.

These benchmark values are sometimes used when estimating a solution involving percentages.

Real-World Example

If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.

10% of 36, done mentally, is 3.6.

Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:


[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]

Answers

It equals 4 hhnug flight

Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3
children attend the same concert for $29. How much does it cost for each to attend?

Answers

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

Micah who is not yet 15 years old, is two years older than DeMonte.


How old is DeMonte?
x = the age of Micah

y = the age of DeMonte

Answers

Answer:

DeMonte is 12

Step-by-step explanation:

If Micah is not yet 15 than he is 14 so 14 - 2 is 12 since DeMonte is two years younger than Micah.

what's b ? plz help ​

Answers

58 i think

58*2+64=180

Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).

Answers

Step-by-step explanation:

Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.

Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.

Hence the equation is y + 5 = -2/3 * (x - 4). (B)

If you ask a question will the points given ne deducted from your points​

Answers

Answer:

I think so yeah. not sure though

Answer:

I think I kinda get this question but can you be a little more...Specific?

Step-by-step explanation:

The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?

Answers

Answer:

A 33 degree change

Step-by-step explanation:

67-34=33

Line z has a slope of 2.5 and goes through points (4,13) . Which equation best represents line z?

A y=2.5x-23
B y=2.5x+23
C y=2.5x+3
D y=2.5x- 28.5

Answers

Answer:

C. y=2.5x+3

Step-by-step explanation:

transversals angles​

Answers

3 or in this case the answer is C

the answer of your question is angle 3

Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?

Answers

Answer:

2y=8/3x

Step-by-step explanation:

Egghead Egghead Egghead

Answers

Answer:

the first one is an egghead, gordon ramsey is not an egg

Step-by-step explanation:

A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?

Answers

Answer:

4 kilometrs

Step-by-step explanation:

if you add the 2 to another 2 you get four

Answer:

4 kilometres

Hope this helped!

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

NEED HELP ASAP PLEASE!

Answers

Answer:-2

Step-by-step explanation:

-y+2x=-1 needs to be changed to y=-2x-1 so that you can set the two equation equal to each other in order to solve for x. That makes it -2x-1=1/2x+4

-4= -4

-2x-5 = 1/2x

+2x = +2x

-5 = 2.5x

div. 2.5 div. 2.5

X= -2

Check: y= -2(-2)-1 Y=3

y=1/2(-2)+4 Y=3

What is the quotation (-3)^0/(-3)^2

Answers

Hey there!

(-3)^0 / (-3)^2

(-3)^0 = 1 ⬅️ Numerator

(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator

Answer: 1/9 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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