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Karo-lina-s [1.5K]
2 years ago
6

Solve the simultaneous equation -4x+3y=1 6x-y=2

Mathematics
2 answers:
Misha Larkins [42]2 years ago
8 0

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Papessa [141]2 years ago
7 0

Answer: x=0.5, y=1

Step-by-step explanation:

-4x+3y=1

6x-y=2

6x-2=y

-4x+3(6x-2)=1

-4x+18x-6=1

-4x+18x=7

14x=7

x=0.5

6x-y=2

6(0.5)-y=2

3-y=2

y=1

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Which are true about the pyramid? Check all that apply.
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The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
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  • All four triangular faces are congruent.
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Learn more on Pyramid here: brainly.com/question/10042135

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After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
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$5 multiplied by 4 weeks = $20. So, $100 + $20 = $120.
2. Solve what Elena did.
$20 × 4 weeks = $80. $10 from her savings account + $80 = $90
3. So, Andre has more money because he started with $100, which is lots of money. And Elena only started with $10. So, Andre has $30 more than Elena.
4. For Part B, you have to count how many weeks in order for both of them to have the same amount of money left in their savings account.
5. Since Andre gets $5 a week, he can get at least 2 weeks and get $130. And for Elena, she would have to do 2 weeks also. For now she has $90, but for two weeks would be $130.
Answer for Part B: Each of them would have to do 2 weeks to get the same amount. (Which is 4 weeks)
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