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MAXImum [283]
3 years ago
7

Find a solution to the following system of equations. -2x + y = -3 -x + 2y = 3

Mathematics
2 answers:
GalinKa [24]3 years ago
5 0

Answer:

Step-by-step explanation: 3+2=5

5

Serhud [2]3 years ago
3 0

Answer: x=3  y=3

Elimination method.

eliminating x and solving for y.

-2x +y=-3

-x+2y=3

-2(-x+2y=3)

2x -4y = 6

Multiply the second equation by -2 so the x’s cancel out.

-2x+y=-3

2x-4y=6

-2x and 2x cancels out

Add like terms

y-=-6

4y=-3

solve.

-3y = -9

divide by -3 on both sides and

y=3

Plug in 3 for the place of y in either either equation.

-2x+ 3= -3

solve for x.

-2x+ 3= -3

     -3    -3

-2x=-6

Divide by -2

x=3

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The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
There are 108 flowers. 1/9 of them bloomed. How many did not bloom? How many did?
levacccp [35]

Answer:

96 flowers did not bloom and 12 did.

Explanation:

Total flower = 108

Number of flower that bloomed

= ⅑ of the total flowers

= ⅑ of 108

= ⅑ × 108

= 108/9

= 12

So, number of flowers that did not bloom

= Total flowers - Number of flowers that bloomed

= 108 - 12

= 96

So, 96 flowers did not bloom and 12 flowers did.

4 0
3 years ago
NEED HELP ASAP What is true about the points on the graph of Y=3^x?
galben [10]

Answer:

d

Step-by-step explanation:

The answe of this question is d

3 0
3 years ago
Last year, Ravi opened an investment account with $5400 . At the end of the year, the amount in the account had decreased by 24.
Nastasia [14]
1-(24.5/100)=0.755 which will be our multiplier
5400 x 0.755 = $4077 left in his account
5400-4077=$1323 decrease
3 0
3 years ago
If a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
lions [1.4K]

Answer:

B. ab+ac=d

Step-by-step explanation:

3 0
3 years ago
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