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3 years ago

Given the system of equations presented here:

Mathematics

2 answers:

statuscvo [17]3 years ago

6 0

Answer:

multiply the first equation by - 7 to get - 28x - 7y = - 28

Step-by-step explanation:

This then results on adding the 2 equations as

- 24x = 0 ⇒ x = 0 and y = 4

solution to system is (0, 4 )

s344n2d4d5 [400]3 years ago

3 0

Answer: multiply the first equatiom by -7 to get -28x -7y =-28

Step-by-step explanation:

4x + y = 4 ------------(1)

2x + 7y = 28 -----------(2)

multiply equation (1) by -7

-28x - 7y = -28 ---------(3)

add equation (2) and (3)

-24x = 0

Divide bothside by 24

x =0

substitute x= 0 in equation(1)

4x +y = 4

4(0) + y = 4

y = 4

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Find y by itself 7y=14x-21

vlada-n [284]

Answer: y=2x-3

Step-by-step explanation:

divide both sides by 7

7y/7=(14x-21)/7

y=2x-3

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3 years ago

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The Square Root Property is used in solving incomplete quadratic equations where b is equal to _______.

Vadim26 [7]

Answer: A. Zero

Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.

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4 years ago

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If 9:7 is the ratio, there are here 116 more boys than girls how many total students are there

Natali5045456 [20]

Now, let's say there are "b" boys and "g" gals... ok... well, we know there are 116 more boys than gals..... so, if there are "g" gals then there must be "g + 116" boys.

$\bf \cfrac{boys}{girls}\qquad 9:7\qquad \cfrac{9}{7}\implies \cfrac{9}{7}=\cfrac{\stackrel{boys}{g+116}}{\stackrel{girls}{g}}\implies 9g=7g+812
\\\\\\
2g=812\implies g=\cfrac{812}{2}\implies g=\stackrel{girls}{406}$

what's the total class? well is g + b or g + ( g + 116).

8 0

3 years ago

Victor measured a city park and made a scale drawing. The soccer field is 23 millimeters long in the drawing. The actual field i

Step2247 [10]

We need to find the scale factor, which is given as

$\text{factor}=\frac{115\text{ meters}}{\text{23 millimeters}}=5$

then, this means that 1 millimeter : 5 meters

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2 years ago

Solve the equation x² + 6x + 1 = 0. give your answer to two decimal places

Alexandra [31]

Answer:

x ≈ - 5.83 , x ≈ - 0.17

Step-by-step explanation:

x² + 6x + 1 = 0 ( subtract 1 from both sides )

x² + 6x = - 1

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 1 + 9

(x + 3)² = 8 ( take square root of both sides )

x + 3 = ± $\sqrt{8}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{8}$

Then

x = - 3 - $\sqrt{8}$ ≈ - 5.83 ( to 2 dec. places )

x = - 3 + $\sqrt{8}$ ≈ - 0.17 ( to 2 dec. places )

5 0

3 years ago