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kozerog [31]
1 year ago
7

9x-2y=11 5x-2y=15 what is the solution to the above system of equations ASAP

Mathematics
2 answers:
natali 33 [55]1 year ago
8 0

9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

4x + 0 = -4

4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

9(-1) - 2y = 11

-9 - 2y = 11

-2y = 20

y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

Mice21 [21]1 year ago
7 0
Multiply the second row by -1

9x-2y=11
-5x+2y=-15

4x=-4
X=-1

9(-1)-2y=11

-9-2y=1
Add 9 to both sides
-2y=10
Y=-5

(-1,-5)
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Doris ran 2.5 kilometers, then sprinted 300 meters and finally walked 1 4 of the distance she sprinted. How many meters did she
mr Goodwill [35]

Answer:

She traveled a total of 2875 metres during practice.

Step-by-step explanation:

Doris ran 2.5 kilometres, then sprinted 300 meters and finally walked 1/4 of the distance she sprinted.

To find the total distance that she traveled, we simply add the distance that she ran, sprinted and walked.

We will convert all distances to metres.

She ran 2.5 kilometres:

1 km = 1000 m

2.5 km = 2.5 * 1000 = 2500 m

So, she ran 2500 m.

She sprinted 300 m.

Se walked 1/4 the distance that she sprinted:

1/4 * 300 = 75 m

She walked 75 m.

Therefore, the total distance she traveled is:

2500 + 300 + 75 = 2875 m

She traveled a total of 2875 metres during practice.

5 0
2 years ago
What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24
shusha [124]

The value of b is -6.

Explanation:

The expression is \left(y^{b}\right)^{4}=\frac{1}{y^{24}}

To determine the value of b, we shall solve the expression.

Applying exponent rule, \left(a^{b}\right)^{c}=a^{b c}, we get,

y^{4b}=\frac{1}{y^{24}}

Applying exponent rule, \frac{1}{a^{b}}=a^{-b}, we have,

y^{4b}=y^{-24}

The expression is of the form, a^{f(x)}=a^{g(x)} then f(x)=g(x)

Applying this rule, we get,

4b=-24

Dividing both sides by 4, we have,

b=-6

Hence, the value of b is -6.

4 0
1 year ago
Read 2 more answers
A street lamp casts a shadow 31.5 feet long, while an 8 foot-tall street sign casts a shadow of 14 feet long. What is the length
sergeinik [125]

Answer:

The answer to your question is the height of the lamp is 18.2 ft

Step-by-step explanation:

Data

Street lamp shadow = 31.5 ft

Street sign height = 8 ft

Street sign shadow = 14 ft

Street lamp height = x

Process

1.- To find the height of the lamp use proportions. In this kind of problem, we do not look for the length, but the shadow.

Street lamp height/street lamp shadow = street sign height/street sign

                                                                                                         shadow

Substitution

                                             x / 31.5 = 8 / 14

Solve for x

                                            x = (31.5)(8) / 14

Simplification

                                            x = 254.4 / 14

Result

                                            x = 18.2 ft              

4 0
1 year ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .
mixas84 [53]

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

0.30x+1.8= 4.05

subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

4 0
1 year ago
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