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NeX [460]
3 years ago
10

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

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PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing sta
lorasvet [3.4K]

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

Thus, the fourth step is:

\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }

The left side cancels:

(x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }

D.

3 0
3 years ago
How do i expand (3x+5)^2
shepuryov [24]
I don't know how you expand it but the answer is 3x + 25 unless that's expanding.
8 0
3 years ago
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Plz reanswer it If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.​
Rzqust [24]
Answer: x = 13/5

Explanation:

(x+4)/(3x+1) = 3/4

Cross multiply:

4(x+4) = 3(3x+1)
4x + 16 = 9x + 3
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3 0
3 years ago
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Mademuasel [1]
If Kyle has invested $20,000 of the total $160,000 invested, that means the other give investors invested $140,000. Divide the about they invested by the total amount invested, and you will get .875. That is equal to 87.5%. The five investors own 87.5% of the business.
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3 years ago
What do you think the hypervolume of a hypercube is? Why?
gavmur [86]

Answer:

a^4 Where (a) is the side length of the hypercube

Step-by-step explanation:

A dimension can be simply defined as a direction in which matter can move it.

We live in a 3-dimensional world, matter can move in three basic directions. The formula for finding the volume of a cube is the following: (a^3). In the second dimension, a flat world, the area for the volume of a square is as follows: (a^2). However, a hypercube is a paradox, as it exists in 4-dimensions, thus it cannot exist in our world. However, scientists propose "String theory" which requires that matter can move in more directs than the (3) we know of in our world. In essence, there can be more than 3 dimensions. A hypercube is the 4-dimensional version of a cube. If it follows the area pattern that a square-object follows in all preceding dimensions then the area of a hypercube is (a^4).

Bear in mind that the area patter for a square-object is generally the following:

a^n

Where (a) is the side length of the square-object

(n) is the dimension the object is in.

Please keep in mind, this answer was written in the June of 2021, as science keeps progressing and new discoveries are made, this theory can be disproven. Therefore, this answer might be considered correct now, but it can be proven incorrect in the future.

6 0
3 years ago
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