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matrenka [14]
11 months ago
8

Solve each system by substitution. Check your answers. 4x+2y=7 , y = 5x

Mathematics
1 answer:
Kazeer [188]11 months ago
5 0

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7     (equation 1)

y = 5x     (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7     (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4

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30 POINTS NEED HELP ASAP MATH QUESTION<br><br> A. 19<br> B. 108<br> C. 133<br> D. 763
Oduvanchick [21]

Answer:

lol that's 14 points my boy

3 0
2 years ago
How many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and con
sladkih [1.3K]

65 sequences.

Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

0-1 and 0-1-1

Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

2x + 3y = 18

Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

Learn more about Sequences on:

brainly.com/question/12246947

#SPJ4

8 0
2 years ago
Help please !!!!!
tatuchka [14]
*triple phytagoras*
first triangle h = second triangle h = 24 in

x = 7 (triple phytagoras)
6 0
2 years ago
Find the image of (-7,-3) reflected across the x-axis
Korvikt [17]
IF USING GEOMETRY...

x-axis = (x, -y)

Because the x does not have a negative sign the number DOES NOT change to its opposite form, but because the y has a negative sign the number DOES changes to its opposite form (from negative number to positive.)

So... if we use the formula of x-axis, which is (x, -y), the coordinates (-7,-3) would change to (-7, 3)

ANSWER (-7, 3)
3 0
2 years ago
1.2: Fractions of a Degree<br><br> What temperature is shown on each thermometer?
Tom [10]

Answer:

C=5/9(F-32)

Step-by-step explanation:

there you go

5 0
2 years ago
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