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mylen [45]
4 years ago
13

Solve each equation for the bold variable​

Mathematics
1 answer:
Phantasy [73]4 years ago
4 0

Answer:

y = 3 - 2x

Step-by-step explanation:

The goal is to isolate the y variable

In order to have y by itself (on one side of the equation or equal sign), we must move the other numbers and variables to the other side.

Since 2x is on the same side as y, we have to subtract it from both sides. Subtracting it cancels out the original 2x and leaves the equation to look like this:

y = 3 - 2x

Now the y is isolated

Another example:

-5x + y = 15

To isolate the y, we must cancel out the -5x. Add 5x to both sides. It will cancel out the -5x and bring it to the right side of the equation, resulting in:

y = 15 + 5x

You might be interested in
3(2x - 5) - 8x = -2(x - 1)
galina1969 [7]

3(2x - 5) - 8x = -2(x - 1)

Use the distributive property:

6x-15 - 8x = -2x +2

Combine like terms:

-2x - 15 = -2x +2


Since both sides have -2x, but the other numbers are not the same, this equation does not have a solution.

8 0
3 years ago
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
k0ka [10]

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.

The student cannot work more than 20 hours each week.

      x + y < 20 ...1

15x + 25y > 375 ...2

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

8 0
2 years ago
Both fractions 1/3 + 1/3 are examples of what?
Nezavi [6.7K]
They are rational numbers.
6 0
3 years ago
F (x) = -3x+5x^2+8 has blank roots.
defon

Answer:

F (x) = -3x+5x^2+8 has complex roots.

Step-by-step explanation:

number of roots?

ok.

f(x) =   5xx - 3x + 8  =   5xx + 5x  - 8x  + 8   ( I was guessing what numbers would sum to -3)

nope.

ok try discriminant:    (-3)^2 - 4*5 * 8 =   9 - 160  < 0

2 complex roots

7 0
4 years ago
Mr. Sartin has 2 gallons of paint that will cover 750 Sq. Ft. He needs to cover 3000 Sq. Ft.. How many more gallons of paint doe
Tasya [4]

Answer:

8 galons

Step-by-step explanation:

line every information by type of units

2 gallons for 750 sq ft

? galons for 3000sq ft

crossmultiply

?*750=2*3000

divide both sides by 750

?=(2*3000) /750= 8

5 0
3 years ago
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