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2х5y-3z-=14 x-2y+=-12 -x+ Зу-2z =13

lukranit [14]

Answer:

x = -34/3, y = 1/3, and z = -35/3

Step-by-step explanation:

2х+5y-3z-=14 let's call this equation 1.

x-2y=-12 let's call this equation 2.

-x+Зу-2z =13 let's call this equation 3.

USING EQUATION 1 AND EQUATION 3.

2х+5y-3z-=14 (EQUATION 1)

-x+Зу-2z =13 (EQUATION 3)

LET'S GET RID OF z, BY MAKING THE COEFFICIENT OF z IN THE TWO EQUATION THE SAME. WE WILL MULTIPLY EQUATION 1 BY 2 AND EQUATION 3 BY 3.

2х+5y-3z-=14 (EQUATION 1) * 2

-x+Зу-2z =13 (EQUATION 3) * 3

4х+10y-6z-=28 let's call this equation 4.

-3x+9у-6z =39 let's call this equation 5.

TO GET RID OF z, WE WILL HAVE TO SUBTRACT EQUATION 5 FROM EQUATION 4 PLEASE TAKE NOTE OF THE SIGNS (-) (+).

4х+10y-6z-=28 (EQUATION 4)

- (-3x+9у-6z =39) (EQUATION 5)

(4x - 3x) + ((+10y) - (+9y)) + ((-6z) - (-6z)) = (28 - 39)

x + y + 0 = -11

x + y = -11 let's call this equation 6.

USING EQUATION 2 AND EQUATION 6, LET'S FIND x AND y.

x-2y=-12 (EQUATION 2)

x + y = -11 (EQUATION 6)

x has the same coefficient in both equations, which is 1. Let's get rid of x so we can find the value of y.

We will subtract equation 6 from equation 2. Take note of the signs.

x-2y=-12 (EQUATION 2)

- (x + y = -11) (EQUATION 6)

(x - x) + ((-2y) - (+y)) = ((-12) - (-11))

0 + -3y = -1

-3y = -1

Divide both sides by -3.

-3y/-3 = -1/-3

y = 1/3

LET'S SUBSTITUTE THE VALUE OF y INTO EQUATION 2 TO GET THE VALUE OF x.

x-2y=-12 (EQUATION 2)

x-2(1/3)=-12

x -2/3 = -12

Add 2/3 to both sides.

x -2/3 + (2/3) = -12 + (2/3)

x + 0 = -34/3

x = -34/3

LET'S SUBSTITUTE THE VALUES OF x and y INTO EQUATION 1 TO GET THE VALUE OF z.

2х+5y-3z-=14 (EQUATION 1)

2(-34/3)+5(1/3)-3z-=14

-68/3 + 5/3 - 3z = 14

-21 - 3z = 14

Add 21 to both sides.

-21 + (21) - 3z = 14 + (21)

0 - 3z = 35

-3z = 35

Divide both sides by -3.

-3z/-3 = 35/-3

z = -35/3 or

Therefore, x = -34/3, y = 1/3, and z = -35/3

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6 0

3 years ago

Which graph represents the solution set of this inequality? 11g-5< 49 Choose 1 answer:

N76 [4]

Answer:

Answer choice A is the correct answer

Step-by-step explanation:

** Before you start: If anything that is < or > you shouldn't fill in the plot.

If it has ≤ or ≥then you need to fill in the plot.**

Terminology:

(>) : Greater than (Don't fill in)

(<): Less than (Don't fill in)

(≤) : Less than or equal to (Fill in)

(≥) : Greater than or equal to (Fill in)

In this case, the answer choices C and D are wrong automatically.

Your Inequality:

11g + 5 ≤ 49

Subtract 5 both sides

11g ≤ 49-5

11g ≤ 44

Divide 44 by 11

g ≤ 4

Find an answer choice that has a number greater than 4 but has a filled-in circle/plot.

Answer choice A is the correct answer

4 0

2 years ago

What’s -100 dived by 10?

Alexxandr [17]

Answer:

-10 is the answer

Step-by-step explanation:

yan alam qu eh

3 0

3 years ago

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Mice21 [21]

Answer: lotion- semisolid

capsule- solid

suspension- liquid

Step-by-step explanation:

8 0

3 years ago

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Rename te número 120,000 = ________ ten thousands

stira [4]

12 ten thousands is the answer to your question.

3 0

3 years ago