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charle [14.2K]
2 years ago
6

Solve the system of linear equations by substitution. x+4y=18 y=-x+9

Mathematics
1 answer:
Dima020 [189]2 years ago
6 0

Using the substitution method, the solution to the system of linear equations, is: (6, 3).

<h3>System of Linear Equations</h3>

Using substitution method, we can make one of the variables the subject of the formula for one of the equations, then find the other variable by substituting.

Given:

  • x + 4y = 18 --> eqn. 1
  • y = -x+9 --> eqn. 2.

Substitute y = -x + 9 into equation 1.

x + 4(-x + 9) = 18

x - 4x + 36 = 18

-3x + 36 = 18

-3x = 18 - 36

-3x = -18

x = 6

Substitute x = 6 into equation 2 to find y

y = -6 + 9

y = 3

Therefore, using the substitution method, the solution to the system of linear equations, is: (6, 3).

Learn more about system of linear equations on:

brainly.com/question/11767839

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Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
Y = 10x + 2<br> how many solutions? <br> a. no solutions. b. on solution c. infinite solutions
dusya [7]

Answer:

c. infinite solutions

Step-by-step explanation:

y = 10x + 2

This is a line.  A line has infinite points

Therefore this has infinite solutions

4 0
3 years ago
Read 2 more answers
Which one of the following expressions has an even integer value for all integers a and c ?
WARRIOR [948]
F...........................
8 0
3 years ago
How do you round 103.468 to the nearest liter?
sergeinik [125]
103 stays because it is the whole number and the next number after the decimal is below 5.

103 is your answer.
8 0
3 years ago
A rectangular block of metal measures 5 cm by 10 cm by 2 cm and has a mass of 700g. What is the volume of this block?
grin007 [14]
Volume = 5*10*2 = 100 cm³
Densidade = massa / volume
Densidade = 700g / 100 cm³
Densidade = 7g/cm³
8 0
3 years ago
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