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3 years ago

What is the solution to y-7>3+2y

Mathematics

1 answer:

Alex17521 [72]3 years ago

6 0

Solving:

-7 + y = 3 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-7 + y + -2y = 3 + 2y + -2y

Combine like terms: y + -2y = -1y

-7 + -1y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0

-7 + -1y = 3 + 0

-7 + -1y = 3

Add '7' to each side of the equation.

-7 + 7 + -1y = 3 + 7

Combine like terms: -7 + 7 = 0

0 + -1y = 3 + 7

-1y = 3 + 7

Combine like terms: 3 + 7 = 10

-1y = 10

Divide each side by '-1'.

y = -10

Hope it helps. (:

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Please solve this using like terms! 2(−14+r)−(−3r−5)

tia_tia [17]

Answer:

5r-23

Step-by-step explanation:

multiple 2 with -14 and r

then subtract 2r - (-3) and -28 -(-5)

6 0

2 years ago

Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the

ss7ja [257]

Answer:

The numbers are -14,-13 and -12

Step-by-step explanation:

The correct question is

Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?

Let

x ----> the first consecutive integer

x+1 ---> the second consecutive integer

x+2 ---> the third consecutive integer

we have that

$x+2(x+1)+3(x+2)=-76$

solve for x

apply distributive property

$x+2x+2+3x+6=-76$

Combine like terms

$6x+8=-76$

subtract 8 both sides

$6x=-76-8$

$6x=-84$

Divide by 6 both sides

$x=-14$

$x+1=-14+1=-13$

$x+2=-14+2=-12$

therefore

The numbers are -14,-13 and -12

3 0

3 years ago

The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment

iVinArrow [24]

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75 Eqn 1

And

one the segments are four times the other

x=4y Eqn 2

$Putting\ x=4y\ in\ equation\ 1$

$4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60$

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Write 745,000 in scientific notation

jolli1 [7]

$7\underbrace{45,000}_{\leftarrow5}=7.45000\times10^5=7.45\times10^5$

3 0

3 years ago

(3Q) Find the amplitude and period of f(t)= -tan.0t

Vanyuwa [196]

Answer:

It has no amplitud and the period is 5pi/2

Step-by-step explanation:

Given a function of the following type:

f(t) = AtanB(t + C)

The function has no amplitud, given that it doesn't have maximum or minimum value. And the period is given by: pi/B

In this case, we have f(t)= -tan0.4t. Then:

B = 0.4

⇒ Period = pi/0.4 = 5pi/2

Therefore, the answer is: It has no amplitud and the period is 5pi/2

8 0

3 years ago