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jeka94
1 year ago
10

Explain how to solve a system of equations using the addition method. Use 3x - 4y=12 and 2x+y=8 to illustrate.

Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

3x - 4y=12 and

2x+y=8

Multiplu by 4 on both side in equation  2x+y=8

8x + 4y = 32

Add the equaton 8x + 4y = 32 and 3x - 4y=12

3x - 4y=12

8x + 4y = 32

11x = 44

x = 4

Similarly, we can find the value of y:

y = 0

Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

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Hans wanted to find the length of the hypotenuse of the triangle. Which statement correctly identifies his error? ​
KonstantinChe [14]

Choice 1. He did not square 40, he just multiplied by 2.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.

Step 2:

According to the Pythagorean theorem,

9^{2} +40^{2} = c^{2}.

81 + 1600 = c^{2} .

1681 = c^{2} .

\sqrt{1681} = c.

This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.

5 0
3 years ago
an automobile with a mass of 1200 kg accelerates at a rate of 3.0 <img src="https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D" id="TexForm
r-ruslan [8.4K]

Answer:

3600 N forward

Step-by-step explanation:

Use Newton's second law.

F = ma

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F = 3600 N

4 0
2 years ago
A linear model is given for the data in the table: y=1.25x+2.
Fed [463]

Answer:

Option A

Step-by-step explanation:

Given that A linear model is given for the data in the table: y=1.25x+2.

Let us write observed values for each x and also the predicted values as per equation.

x            2     3        4      8    10      16    20    24    Total

y((O)      3      4        7     12   16      22   28    30

y(P)     4.5   5.75      7     12   14.5   22   27    32

DEv    1.5    1.75      0       0     1.5     0      1       2     7 75

where y(0) represents observed y or y in the table given

y(P) gives values of y predicted as per the equation 1.25x+2

Dev represents the absolute difference

Hence answer is option

A.7.75

8 0
2 years ago
F ( x ) = 5 ( 2 − x ) , what is the value of f ( − 8 )
Pepsi [2]

Answer:

50

Step-by-step explanation:

solved

7 0
2 years ago
Solve for x in the equation x + 10 = 15.
Vera_Pavlovna [14]
X+10=15

Isolate x by subtracting 10 from both sides
x+10-10=15-10
x=5

Final answer: B

Check by plugging the value in
5+10=15
True
7 0
3 years ago
Read 2 more answers
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