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charle [14.2K]
3 years ago
6

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

Mathematics
1 answer:
Dima020 [189]3 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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Solve for x<br> -6x + 14&lt;-28 AND<br> 3x + 28 &lt; 25
MAVERICK [17]

Answer:

Treat the lesser than sign as an equal sign. What you do to one side, you do to the other. Isolate the variable x. Do the opposite of PEMDAS.

PEMDAS = Parenthesis, Exponents ( & roots), Multiplication, Division, Addition, Subtraction.

<u>Solve -6x + 14 < -28</u>

First, subtract 14 from both sides:

-6x + 14 (-14) < -28 (-14)

-6x < -42

Next, divide -6 from both sides to isolate the variable x. Note that when you divide (or multiply) by a negative number, you must flip the greater than or less than sign.

(-6x)/-6 < (-42)/-6

x > (-42)/(-6)

x > 7

x > 7 is your answer.

<u>Solve 3x + 28 < 25</u>

First, subtract 28 from both sides.

3x + 28 (-28) < 25 (-28)

3x < -3

Isolate the variable x. Divide 3 from both sides. Note that because you aren't dividing by a negative number (rather a positive 3), you do not flip the sign.

(3x)/3 < (-3)/3

x < (-3)/(3)

x < -1

x < -1 is your answer.

~

7 0
3 years ago
3z + 2 + (-5) + 6 PLS HELP NEED TO TURN IN BY 2:30
Ostrovityanka [42]

Answer:

ok, but what does z in the equation equal? Since its a letter it has to equal to a number

5 0
3 years ago
PLEASE HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Solve the system of equations.
topjm [15]

Answer:

D. no solution

Step-by-step explanation:

substitute y = 2x + 3 in

2y = 4x + 10

gives 2(2x+3) = 4x + 10

4x - 4x = 10 - 6

therefore the equation has no solution

5 0
3 years ago
Kayla is building a rectangular fence around an herb garden. The garden only covers 56 ft? Which lengths are possible for the si
Ivenika [448]

Answer:

it might be 6,6 22,22 and 13,13, 15,15

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Simplify (2/3 + 1/6).<br> Write the sum in the simplest form.
ratelena [41]
Lcm of denominators = 3,6= 6

2x2/3x2 + 1/6

(4/6+1/6=5/6

Sum is 5/6
6 0
3 years ago
Read 2 more answers
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