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N76 [4]
3 years ago
14

If 3x+2y=12 and -4x+6y=24 what is the value of -x+2y

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0
(1) 3x+2y=12
(2) -4x+6y=24

Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2

Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24

Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
-13x+36=24
-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13

Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13

x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13

Answer: The value of -x+2y is 108/13 
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What is the answer to this
olasank [31]

Three times the variable m minus four is equal to fourteen.

Another way could be:

Four less than three multiplied by m is equivalent to fourteen.


The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.

Also if you are looking to solve the equation then it would be:

3m - 4 = 14

      +4   +4

     ------------

       3m = 18

      -----    -----

         3        3

m = 5


Hope that helped :-)

8 0
3 years ago
List the angles of the triangle below in order from smallest to largest.
Elan Coil [88]

Answer:

M,L,K

Step-by-step explanation:

The angle opposite the side is in the order of their size. So the larger the side the larger the angle

8 0
3 years ago
Solve the following equation by factoring 2x^2-5x-12=0
Korolek [52]
Answer: x = 4 and x = -3/2

Procedure:

1) Given: 2x^2 - 5x - 12 = 0

2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0

3) Rearrange: (2x)^2 -5(2x) - 24 = 0

4) Notice that the common factor is (2x)

5) Set the parenthesis with the common factor inside:

(2x     ) (2x     ) =0

6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)

(2x - )(2x + ) = 0

7) find two numbers that sum up - 5x and its product is -24.

- 8 + 3 = - 5
(-8)(+3) = -24

=> the numbers in the factors are -8 and +3

(2x - 8) (2x + 3) = 0

That is the factored equation. Now you can solve

8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4

b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2

Answer: the two solutions are x = 4 and x = -3/2
8 0
3 years ago
Please help its easy
Ainat [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

\frac{12 - 3}{12}

\frac{9}{3}

cross out the common factor.

\frac{3}{4}

8 0
2 years ago
Read 2 more answers
Can you help me on B and C! plz help me
Gre4nikov [31]
B is 4 times 3 is twelve so the equation would be shape number times 3 equals the number of toothpicks. C is you could write it as number of toothpicks divided by 3 equals the shape number. I'm not sure tho
6 0
3 years ago
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