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4 years ago

Which of the following ordered pairs is a solution to the equation 2x-7y=20 ?

Mathematics

2 answers:

g100num [7]4 years ago

7 0

Answer:

(3,-2) is the solution

Step-by-step explanation:

2x-7y=20

To find the ordered pairs that is a solution to the equation, we plug in each ordered pair and check whether it satisfies the given equation

A) (-2,3)

2(-2) - 7(3)=20

-4 -21 = 20

-25 = 20 (Does not satisfies the given equation)

B) (-3,2)

2(-3) - 7(2)=20

-6 -14 = 20

-20 = 20 (Does not satisfies the given equation)

C) (0,10)

2(0) - 7(10)=20

0 -70 = 20

-70 = 20 (Does not satisfies the given equation)

D) (3,-2)

2(3) - 7(-2)=20

6 +14 = 20

20 = 20 ( satisfies the given equation)

Llana [10]4 years ago

5 0

Substitute each coordinate into the equation.

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Solve using elimination.<br> 5x + 7y = -6<br> 4x + 7y = -9

Ede4ka [16]

Answer:

Simplifying
5x + 7y = -6

Solving
5x + 7y = -6

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
5x + 7y + -7y = -6 + -7y

Combine like terms: 7y + -7y = 0
5x + 0 = -6 + -7y
5x = -6 + -7y

Divide each side by '5'.
x = -1.2 + -1.4y

Simplifying
x = -1.2 + -1.4y
__________________________________

Simplifying
4x + 7y = -9

Solving
4x + 7y = -9

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + -7y
4x = -9 + -7y

Divide each side by '4'.
x = -2.25 + -1.75y

Simplifying
x = -2.25 + -1.75y

6 0

3 years ago

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats s

Dafna11 [192]

The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

A similar question was answered here: brainly.com/question/411732

5 0

3 years ago

Solve the equation n/10 + 5 =9. The solution is (Type the value of n.)

natita [175]

Answer:

Step-by-step explanation:

n/10+5=9

n/10=9-5

n/10=4

n=4*10

n=40

3 0

3 years ago

What is x - 3(1-x) = 47 - x

lozanna [386]

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 10

7 0

3 years ago

Decide if the expression is positive or negative. Explain in words how you know, please.

AysviL [449]

Step-by-step explanation:

The first expression is :

$-11\times \dfrac{2}{3}$

Numerator = -11×2 = -22

Denominator = 3

So, answer will be :

$-11\times \dfrac{2}{3}=\dfrac{-22}{3}$ (negative)

The second expression is:

$-11\times \dfrac{-2}{3}$

Numerator = -11×-2 = 22

Denominator = 3

So, the answer will be :

$-11\times \dfrac{-2}{3}=\dfrac{22}{3}$ (positive)

Hence, this is the required solution.

7 0

2 years ago