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tatuchka [14]
3 years ago
12

Explain why the two equations below have the same solutions. x + 3y = −1 −2x − 6y = 2

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
X + 3y= -1
-2x - 6y = 2

These two equations have the same solution because we can see that they are equivalent. 

One way to find out is this:-

Since x has a +1 next to it, and the other equation has a (-2) next to the x, we can multiply everything on the first equation by 2 to see if they are equivalent.

x+3y= -1
(-2)*x + 3y*-2 = -1*-2
-2x+ (-6y) = 2
-2x-6y=2

Now we know that both of these equations have the same solution.
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Time has a total of $28 after spending half of his weekly earnings on a video game and earning $10 additional dollars for mowing
Korolek [52]

Given:

Time has a total of $28 after spending half of his weekly earnings on a video game and earning $10 additional dollars for mowing the lawn.

To find:

Weekly earnings at his part time job.

Solution:

Let x be the weekly earning.

He spend half of his weekly earning, i.e., \dfrac{x}{2}

He earns $10 additional dollars for mowing the lawn.

According to the question,

\dfrac{x}{2}+10=28

\dfrac{x}{2}=28-10

\dfrac{x}{2}=18

Multiply both sides by 2.

x=36

Therefore, his weekly earnings is $36.

5 0
3 years ago
Find two irrational numbers and two rational numbers between 0.5 and 0.552.​
seropon [69]

Answer:

Rational: 0.51 and 0.52

Irrational: sqrt(.26) and sqrt(.27)

6 0
2 years ago
Can someone help me drag this please correct answers only
jeka57 [31]
180- 44= 136 = x
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107 - 27 = 80 = x
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8 0
3 years ago
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Please help me!! I am struggling... I will not accept nonsense answers!
telo118 [61]

Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

6 0
3 years ago
Help please I’ll give you 45 points
maksim [4K]

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

4 0
2 years ago
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