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3 years ago

State whether the equation is true, false or open? 4y+8=6y+3

Mathematics

2 answers:

g100num [7]3 years ago

8 0

Answer:

Open

Explanation:

An open equation is an equation that has variables and CAN be solved

Example: 2x = 4 ......> can be solved giving ......> x = 2

A false equation is one where both sides can NEVER be equal

Example: 15 = 2(3) + 1 ..........> 15 can never be equal to 7

A true equation is one having no variables and both sides are ALWAYS equal

Example: 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7

Now, the given equation is:

4y + 8 = 6y + 3

Let's try to solve is:

4y + 8 = 6y + 3

6y - 4y = 8 - 3

2y = 5

y = 2.5

Therefore, the given equation contains a variable and can be solved which means that it is an open equation

Hope this helps :)

Valentin [98]3 years ago

3 0

4y + 8 = 6y + 3

4y - 6y = 3 - 8

-2y = -5

y = -5/-2

y = 2.5

Hence since the equation has a solution so it is true.

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Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =

Zepler [3.9K]

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3 →(3)

Putting x= (4y+8 )/3 in equation (2), we get

18x-5y=10

18( (4y+8) /3) -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

⇒x= (-8+8)/ 3

⇒x= 0/ 3

⇒x=0

∴x=0 and y= -2

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%20%3D%28x%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D%20" id="TexFormula1" title="f =(x) = \frac{x}{4}

Inga [223]

Answer:

g(x) = $\frac{x+3}{x-3}$

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = $\frac{2x}{(x-3)}$

g(x) = $\frac{2x}{(x-3)}-1$

= $\frac{2x-(x-3)}{(x-3)}$

= $\frac{(x+3)}{(x-3)}$

Therefore, g(x) = $\frac{x+3}{x-3}$ will be the answer.

5 0

3 years ago

What is the answer of -32/40 + -35/40 ?

Alex787 [66]

-32/40 + -35/40 = -32+-35/40
= -67/40
= -1.675

The answer would then be -1.675.

3 0

3 years ago

Blti número de dias que ha trabajado pedro es 4 veces el número de días que ha trabajado Enrique. Si pedro hubiera trabajado 15

-BARSIC- [3]

Answer:

same I dont know your language

Step-by-step explanation:

7 0

3 years ago

Let K and T be the current ages of two siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie

Pavlova-9 [17]

Answer:

Katie is 6 years old and Thomas is 3 years old

Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

and in 6 years, Katie will be 4 times Thomas's current age then

K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

Recall that K = 2T

K = 2 * 3

= 6

Hence Katie is 6 years old while Thomas is 3 years old

6 0

2 years ago