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2 years ago

Solve the system 8y-5z=23 3y-2z=6 100 POINTS

Mathematics

2 answers:

Hatshy [7]2 years ago

6 0

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

Ivanshal [37]2 years ago

3 0

Answer:

y = 16

z = 21

Step-by-step explanation:

8y - 5z = 23

8y = 23 + 5z

y = 23/8 + 5z/8

3y - 2z = 6

3(23/8 + 5z/8) - 2z = 6

69/8 + 15z/8 - 2z = 6

15z/8 - 16z/8 = 48/8 - 69/8

- z/8 = - 21/8

z = 21

y = 23/8 + 5(21)/8

y = 16

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Simplify negative 2 and 1 over 9 – negative 4 and 1 over 3.

Ugo [173]

Answer:

The correct answer is

$2\frac{2}{9}$

Step-by-step explanation:

Method 1

We want to simplify,

$-2\frac{1}{9} -(-4\frac{1}{3})$

The double negatives becomes positive,

$=-2\frac{1}{9} +4\frac{1}{3}$

We now add the whole number parts and the fractions separately

$=-2+4-\frac{1}{9} +\frac{1}{3}$

This will give us,

$=2-\frac{1}{9} +\frac{1}{3}$

The least common denominator for the fractional parts is 9.

$=2+\frac{-1+3\times1}{9}$

$=2+\frac{-1+3}{9}$

$=2+\frac{2}{9}$

$=2\frac{2}{9}$

Method 2

We want to simplify,

$-2\frac{1}{9} -(-4\frac{1}{3})$

The double negatives becomes positive,

$=-2\frac{1}{9} +4\frac{1}{3}$

We first convert the mixed numbers to improper fractions to obtain,

$=-\frac{2\times9+1}{9} +\frac{4\times3+1}{3}$

We carry out the multiplication in the numerator to get,

$=-\frac{18+1}{9} +\frac{12+1}{3}$

We add in the numerator to get,

$=-\frac{19}{9} +\frac{13}{3}$

The least common denominator is $9$ .

$=\frac{-19+13\times3}{9}$

$=\frac{-19+39}{9}$

$=\frac{20}{9}$

We convert back to mixed numbers to get,

$=2\frac{2}{9}$

4 0

2 years ago

Is 4.5 and 0.25 proportional

jeyben [28]

Answer: no

Step-by-step explanation:

450% and 25% are different.

3 0

2 years ago

Which triangle always has all sides different lengths and all angles measuring less than 90°? A. acute scalene B. equilateral C.

harina [27]

Hello there.

Answer: It would be D. right Scalene.

Hope This Helps You!
Good Luck Studying ^-^

5 0

2 years ago

Read 2 more answers

What is the value of x?

tekilochka [14]

Answer:

Step-by-step explanation:

since we can see that the lines are parallel

and we can see that the both are interior angles and when we sum up both angles we get 180

2x - 5 + 45 = 180

2x + 40 =180

2x = 180 - 40

2x =140

x = 140/2

x = 70

4 0

2 years ago

Can someone please help me with this?

elena-14-01-66 [18.8K]

Answer:

y=2/5x+2

slope: 2/5

y=-1/4x+4

y-intercept: 4

Step-by-step explanation

The equation for slope-intercept form is y=mx+b.

m=the slope

b= the y-intercept

5 0

2 years ago