Mathematics, 07.08.2019 01:20 janette32

Solve the system of equations.
4x + 3y + z= -6
x-3y + 2z=0
11x-2y + 3z = - 26

Answers: 2

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Answers

Answer from: zsmart909

y= - 271/71

x=755/71

z =4866/71

Step-by-step explanation:

For resolve a system you multiply an equation of the system or add two of the equation and replace the result in the system

Add the 1st and 2nd, and replace the 2nd

4x + 3y + z= -6 4x + 3y + z= -6 4x + 3y + z= -6

(-4) (x-3y + 2z=0 ) → -4x +12y -8z =0 → +15y -7z = -6

11x-2y + 3z = - 26 11x-2y + 3z = - 26 11x-2y + 3z = - 26

Add the 2nd and 1st, and replace the 1st

4x + 3y + z= -6 4x + 3y + z= -6 4x + z= -6

(-1/5)( 15y -7z = -6) → -3y -7/5z =6/5 → -3y -7/5z =6/5

11x-2y + 3z = - 26 11x-2y + 3z = - 26 11x-2y + 3z = - 26

Add the1st and 3rd, and replace the 3erd

(-3)( 4x + z= -6) -12x - 3z= 18 -12x - 3z= 18

-3y -7/5z =6/5 → -3y -7/5z =6/5 → -3y -7/5z =6/5

11x-2y + 3z = - 26 11x-2y + 3z = - 26 -x-2y = - 8

Add the1st and 3rd, and replace the 1st

(1/3)(-12x - 3z= 18 ) -4x - z= 6 -4x - z= 6

(5)(-3y -7/5z =6/5) → -15y - 7z = 6 → -15y - 7z = 6

-x-2y = - 8 (-4)(-x-2y = - 8) 4x + 8y= 32

Add the 1st and 2nd, and replace the 2nd

(-7)(8y - z =38) -56y +7z= 266 -56y +7z= 266

-15y - 7z = 6 → -15y - 7z = 6 → -71y=271 → y= - 271/71

(1/4)(4x + 8y= 12) x+2y=3 x+2y=3

-56y +7z= 266 → -8y + z =38 → z =4866/71

x+2y=3 → x=755/71

Answer from: Quest

This law is sometimes called the grouping property. as you can see, regardless of how the numbers are grouped, the answer is still 13. the associative law of multiplication is similar to the same law for addition. it says that no matter how you group numbers you are multiplying together, you will get the same answer.

Answer from: Quest

1. an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x = cube root of 189 = 5.74 to nearest hundredth answer(b) 189 = 3*3*3*7 so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 = 756.48 which is very close(b) 4* ((3∛3)^3 = 4*189 = 756 - spot on! 3. i would use solution b because the original question asked for an exact solution.

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Solve the system of equations.
4x + 3y + z= -6
x-3y + 2z=0
11x-2y + 3z = - 26...

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