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Oksana_A [137]
3 years ago
6

Find the solution of the system of equations. −5x+5y=-10 6x+5y=1

Mathematics
2 answers:
deff fn [24]3 years ago
5 0
Okay so first we need to cancel one of the variables out. so multiple the top by 6 and the bottom by 5

-30x+30y=-60
30x+25y=5

cancel out x

30y=-60
25y=5

55y=-55
y=-1

now plug in y into one of the equations and solve for x.

6x+5(-1)=1
6x-5=1
6x=6
x=1
pickupchik [31]3 years ago
4 0

Answer:

Step-by-step explanation:

Since you have

+

5

y

in one equation and

−

5

y

in the other equation, you can add both equations to cancel out the y terms and solve for x.

−

6

x

+

5

x

=

−

x

5

y

−

5

y

=

0

1

+

10

=

11

therefore

−

x

=

11

multiplying both sides by -1:

x

=

−

11

plugging this back into the first equation:

−

6

(

−

11

)

+

5

y

=

1

66

+

5

y

=

1

subtracting 66 from both sides:

5

y

=

−

65

divide both sides by 5:

y

=

−

13

putting the x-values and y-values into one point gives:

(

−

11

,

−

13

)

as the solution

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Answer:

C

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Step-by-step explanation:

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Remember: "a negative times a negative is a positive!"

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C = pi * d
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The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
antiseptic1488 [7]

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

4 0
3 years ago
A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c
Deffense [45]

The number of 3¢ stamps that are in the collection is: 22.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:

<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).

A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6  ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

3¢ + 3¢ - 6 + 3¢ + 2 = 194

9¢ = 198

¢ = 198/9

¢ = 22.

Read more on expressions here: brainly.com/question/17361494

#SPJ1

<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

6 0
1 year ago
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