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4 years ago

Solve for y. 7y - 6y - 10 = 13

1 answer:

8 0

Start off by combining like terms (your y's).
7y - 6y - 10 = 13
y - 10 = 13

Now you need to get y by itself so add 10 to both sides

y - 10 = 13
+10 +10

y = 23

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saul85 [17]

$\large\underline{\sf{Solution-}}$

Let us assume that:

$\sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } }$

We can also write it as:

$\sf \longmapsto x = \sqrt{6 + x }$

Squaring both sides, we get:

$\sf \longmapsto {x}^{2} =6 + x$

$\sf \longmapsto {x}^{2} - x - 6 =0$

By splitting the middle term:

$\sf \longmapsto {x}^{2} - 3x + 2x - 6 =0$

$\sf \longmapsto x(x - 3) + 2(x - 3 ) =0$

$\sf \longmapsto (x+ 2)(x - 3 ) =0$

Therefore:

$\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}$

$\sf \longmapsto x = - 2,3$

But x cannot be negative. 

$\sf \longmapsto x = 3$

Therefore, the value of the expression is 3.

$\large\underline{\sf{Verification-}}$

Given:

$\sf\longmapsto x=3$

We can also write it as:

$\sf\longmapsto x = \sqrt{9}$

$\sf\longmapsto x = \sqrt{6+3}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{9}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}$

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}$

This pattern will continue.

$\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}$

7 0

3 years ago

Someone help me I dont get it

ioda

Answer:

price of a sandwich = $7.50

Step-by-step explanation:

let the price of a sandwich be $x.

entire order cost= cost of chips+ 5×cost of sandwiches

= 1.25 + 5x

1.25 + 5x = 38.75

5x=38.75-1.25

5x=37.50

x=7.50

7 0

3 years ago

Find the hcf of the following numbers 22,18

Sergeu [11.5K]

Answer:

the required hcf is 2

okay

3 0

3 years ago

Y−3=2(x+1) solve this

Elena-2011 [213]

Answer:

Y-3 = 2(x+1)

open the brackets

Y-3 = 2x+2

Y = 2x+5..... this is the answer when solving for Y

if were solving for x:

Y-3 = 2x+5

Y-8 = 2x

$\frac{y}{2} -4 = x$

8 0

3 years ago

9.678 x 10^4 I am really stuck on scientific notation can someone help pls

Vadim26 [7]

The answer would be 96780

5 0

3 years ago