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2 years ago

If the sum of a number and one is tripled, the result is four less than twice the number. Find the number.

Mathematics

1 answer:

vagabundo [1.1K]2 years ago

8 0

x+1*3+y-4=x

the answer

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5/6=x-10/3x+6 solution?

Ivan

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}$

Step-by-step explanation:

$\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }$

Apply cross product property

⇒ $\sf{5(3x + 6) = 6( x - 10)}$

Distribute 5 through the parentheses

⇒ $\sf{15x + 30 = 6( x - 10)}$

Distribute 6 through the parentheses

⇒ $\sf{15x + 30 = 6x - 60}$

Move 6x to left hand side and change it's sign

⇒ $\sf{15x - 6x + 30 = - 60}$

Collect like terms

⇒ $\sf{9x + 30 = - 60}$

Move 30 to right hand side and change it's sign

⇒ $\sf{9x = - 60 - 30}$

Calculate

⇒ $\sf{9x = - 90}$

Divide both sides of the equation by 9

⇒ $\sf{ \frac{9x}{9} = \frac{ - 90}{9} }$

Calculate

⇒ $\sf{x = - 10}$

Hope I helped!

Best regards!!

3 0

2 years ago

Which triangles are similar?

lara31 [8.8K]

I’m pretty sure it would be a and b

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3 years ago

Find the area of a triangle with a base of 18 feet and a height of 7 feet

amid [387]

.5*18*7=9*7=63 ft squared

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2 years ago

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drew and Evelyn measured the wingspans of their butterflies. How do the wingspans compare? theirs a monarch butterfly and a swal

Rina8888 [55]

I believe they compare because both butterflies can have a wingspan of 3.5 in. Hope this helps

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3 years ago

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Geometry math question no Guessing and Please show work

tatyana61 [14]

The point where the two diagonals meet is also the midpoint of both diagonals.

This means that AE = EC . Since we have the value for both segments, we have

$AE = EC \implies 2x = x+2 \implies x = 2$

Since AC = AE + EC, we have

$AE + EC = 2x+x+2 = 3x+2 = 3\cdot 2 + 2 = 6+2 = 8$

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2 years ago