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3 years ago

X=3y + 1 2x + 4y =12

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

the solution is (4, 1).

Step-by-step explanation:

The goal here is to "solve this system of linear equations." You need to share that along with the equations.

We can begin the solution by substituting 3y + 1 for x in the second equation:

2(3y + 1) + 4y = 12

Performing the multiplication, we get 6y + 2 + 4y = 12, or 10y = 10.

Then y must be 1.

Substituting 1 for y in the first equation, we get x = 3(1) + 1 = 4

Thus, the solution is (4, 1).

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A man on the third floor of a building shouts down to a person on the street. If the man is 25 feet up and the distance between

Mkey [24]

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2 years ago

X^2+4x-1/(x+2)^2=0 solve for x

dalvyx [7]

x^2+4x-1/(x+2)^2=0
x^2 + 4x - 1 = 0

$\frac{x^2+10x-7}{x^2+10x+25} =0\\x^2+10x-7=0\\x= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ;
where a = 1, b = 4 and c = -1

$x=\frac{-4\pm\sqrt{4^2-(4\times1\times(-1)}}{2\times1}\\=\frac{-4\pm\sqrt{16+4}}{2}=\frac{-4\pm\sqrt{20}}{2}\\=\frac{-4\pm\sqrt{4\times5}}{2}=\frac{-4\pm2\sqrt{5}}{2}=-2\pm\sqrt{5}\\=-2+\sqrt{5}
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5 0

2 years ago

The sum of the digits of a two digit number is 6z the number with its digits reversed is 18 less than the original number. Find

Debora [2.8K]

Answer:

Step-by-step explanation:

Given:-

The Sum of the Digit of a Two Digit number is 6.

On reversing, the number is 18 less than the original number.

To Find:-

The original Number.

Let the Ones digit be "x"

ten's digit be = (6 - x)

Original Number = x + 10(6 - x) = 60 - 9x

Now, Atq.

One's Digit = (6 - x)

Ten's digit = x

New Number = 10 × x + (6 - x) = 9x + 6.

So,

(New Number) - (Original Number) = 18

(9x + 6 ) - (60- 9x) = 18

9x + 6 - 60 + 9x = 18

18x - 54 = 18

18x = 18 + 54.

18x = 72

x = 72/18

x = 4.

Therefore,

One's Digit = x = 4

Ten's digit = 6 - x = 2

Original Number = 42

6 0

2 years ago

1. In triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ. Also, AY = 7, BZ = 8, and XZ

Varvara68 [4.7K]

Answer:

Part 1) The perimeter of triangle ABC is 24 units

Part 2) $y=97\°$

Step-by-step explanation:

Part 1) we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

see the attached figure to better understand the problem

Applying the midpoint theorem

step 1

Find the value of BC

$BC=\frac{1}{2}XY$