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2 years ago

0=-2y+10-6x 14-22y=18x

Mathematics

1 answer:

Inessa05 [86]2 years ago

5 0

Answer:

x=2,y=−1

Step-by-step explanation:

Solve for y in the first equation.

y=−9x/11+7/11

0=−2y+10−6x

Replace all occurrences of y with −9x/11+7/11 in each equation.

0=−48(x−2)11

y=−9x11+711

Solve for x in the first equation.

x=2

y=−9x/11+7/11

Replace all occurrences of x with 2 in each equation.

y=−1

x=2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2,−1)

The result can be shown in multiple forms.

Point Form:

(2,−1)

Equation Form:

x=2,y=−1

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1/3(z+4)-6=2/3(5-z) solve for z and check solution

Marat540 [252]

Answer:

z = 8

Step-by-step explanation:

Solve for z:

(z + 4)/3 - 6 = (2 (5 - z))/3

Put each term in (z + 4)/3 - 6 over the common denominator 3: (z + 4)/3 - 6 = (z + 4)/3 - 18/3:

(z + 4)/3 - 18/3 = (2 (5 - z))/3

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Multiply both sides by 3:

(3 (z - 14))/3 = (3×2 (5 - z))/3

(3 (z - 14))/3 = 3/3×(z - 14) = z - 14:

z - 14 = (3×2 (5 - z))/3

(3×2 (5 - z))/3 = 3/3×2 (5 - z) = 2 (5 - z):

z - 14 = 2 (5 - z)

Expand out terms of the right hand side:

z - 14 = 10 - 2 z

Add 2 z to both sides:

2 z + z - 14 = (2 z - 2 z) + 10

2 z - 2 z = 0:

2 z + z - 14 = 10

z + 2 z = 3 z:

3 z - 14 = 10

Add 14 to both sides:

3 z + (14 - 14) = 14 + 10

14 - 14 = 0:

3 z = 10 + 14

10 + 14 = 24:

3 z = 24

Divide both sides of 3 z = 24 by 3:

(3 z)/3 = 24/3

3/3 = 1:

z = 24/3

The gcd of 24 and 3 is 3, so 24/3 = (3×8)/(3×1) = 3/3×8 = 8:

Answer: z = 8

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2 years ago

Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)

fredd [130]

The correct answers are:
___________________________________________________
[A]: " (0, 0) " ; AND:
___________________________________________________
[C]: " (-2, -1) " .
___________________________________________________

Explanation:
___________________________________________________

[A]: " (0, 0) " ; is correct;

Since, when "x = 0" and y = 0 :

"0 > - 4 " ; which is correct.
___________________________________________________
[B]: "(2, 1)" is incorrect, since:

when "x = 2" and "y = 1" ;

" 1 > 6" ; is incorrect.
___________________________________________________
[C]: "(-2, -1)" ; is correct;

Since, when "x = -2" and y = -1" ; then:

"-2 > -6 ; which is correct.
___________________________________________________
[D]: " (-5, -1) " ; is INCORRECT.

since when "x = -5" and "y = -1 ;

then: -1 > 6 ; which is INCORRECT.
___________________________________________________

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