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2 years ago

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-2x-9y=25 4x+9y=23 solve with elimination

1 answer:

Masja [62]2 years ago

4 0

Answer:

x = 24 and y= −73/9

Step-by-step explanation:

Let's solve your system by elimination.

−2x−9y=25;4x+9y=23

------------------------

−2x−9y=25

4x+9y=23

Add these equations to eliminate y:

2x=48

Then solve2x=48for x:

2x=48

2x/2 = 48/2

(Divide both sides by 2)

x=24

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

−2x−9y=25

Substitute24forxin−2x−9y=25:

(−2)(24)−9y=25

−9y−48=25(Simplify both sides of the equation)

−9y−48+48=25+48(Add 48 to both sides)

−9y=73

−9y/−9 = 73/−9

(Divide both sides by -9)

y= −73/9

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9 and 5/12 - 3 and 2/3

lana [24]

Recall to always convert the mixed fractions to "improper" fractions first,

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-------------------------------\\\\
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5 0

3 years ago

Please help with this arc equation.

boyakko [2]

Answer:

Part 1) $arc\ AB=49^o$

Part 2) $arc\ ABC=204^o$

Part 3) $arc\ BAC=156^o$

Part 4) $arc\ ACB=311^o$

Step-by-step explanation:

Part 1) Find the measure of arc AB

we know that

$arc\ AB=m\angle AOB$ ----> by central angle

we have

$m\angle AOB=49^o$

therefore

$arc\ AB=49^o$

Part 2) Find the measure of arc ABC

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ABC=360^o-107^o-49^o=204^o$

Part 3) Find the measure of arc BAC

we know that

$arc\ BAC=arc\ BA+arc\ AC$ ----> by angle addition postulate

we have

$arc\ BA=49^o$ ---> by central angle

$arc\ AC=107^o$ ---> by central angle

so

$arc\ BAC=49^o+107^o=156^o$

Part 4) Find the measure of arc ACB

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ACB=360^o-arc\ AB$

substitute

$arc\ ACB=360^o-49^o=311^o$

4 0

3 years ago

Write the slope and y-intercept of each equation.

ioda

Answer:

okay here goes.

Step-by-step explanation:

1. slope = -5 and y-intercept is (0,6)

2. slope = 3 and y-intercept is (0,-2)

3. -2 and (0,-4)

4. 8 and (0,1)

5. 5 and (0,-3)

6. -3 and (0,-9)

7. 7 and (0,2)

8. -1 and (0,6)

9. -4 and (0,7)

10. -6 and (0,-8)

11. 8 and (0,-5)

12. 9 and (0,3)

You owe me. That took a long time to write.

3 0

3 years ago

1. Which property is illustrated by 12.+.3+3.12.x ? identity distributive associative commutative

podryga [215]

I can only guess that you meant to write

12 + 3 = 3 + 12

which would be the commutative property of addition.

5 0

3 years ago

A. y = -1.33x; 2.67<br> B. y = -0.75x; 1.50<br> C. y = 1.33x; -2.67<br> D. y = 0.13x; -0.25

Crazy boy [7]

Answer:

c is the correct answer for this problem

Step-by-step explanation:

7 0

3 years ago