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user100 [1]
3 years ago
13

Find the solution for the system of linear equations by elimination: 2x+y=9,3x-y=16

Mathematics
2 answers:
Mademuasel [1]3 years ago
5 0
The answer to the question is (-5,-1)
alexandr402 [8]3 years ago
3 0

Answer:

(-5,-1)

Step-by-step explanation:

2x+y=9 -> y=-2x+9

3x-y=16

3x-(-2x+9)=16

3x+2x-9=16

5x-9=16

5x-9 (+9)=16 (+9)

5x=25

x=5

no plug in 5 to x in any equation above

2(5)+y=9

10+y (-10)=9 (-10)

y=-1

so the answer is (-5,-1)

hope it's correct! and hope i helped

You might be interested in
The measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth inte
givi [52]

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

7 0
3 years ago
5a - 24b =-15<br> 10a + 45c =21<br> 48b + 35c = 49
andrew-mc [135]

5a + 15 = 24b so,

10a + 30 = 48b,

sub to third equation,

10a + 30 + 35c = 49

10a + 35c = 19

perform elimination with second equation

10a + 45c = 21

10a + 35c = 19

________________-

10c = 2

c = 1/5

sub to second equation,

10a + (45)(1/5) = 21

10a + 9 = 21

10a = 12

a = 6/5

sub to first equation

(5)(6/5) - 24b = -15

6 + 15 = 24b

21 = 24b

b = 7/8

redo the calculations, correct me if I'm wrong

6 0
3 years ago
N÷102=0.123<br> What is the value of n
Sonbull [250]

Answer:

n = 12.546

Step-by-step explanation:

to find the value of n we need to transpose

n ÷ 102 = 0.123

n = 0.123 × 102

n = 12.546

6 0
3 years ago
Read 2 more answers
Please solve this for me! Thank you so much I appreciate you. tpwk
Juli2301 [7.4K]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
I know you are reading this answer the question.
RSB [31]

Answer:

C. x = 3

Step-by-step explanation:

When x = 3:

f(x) = x - 3 = 3 - 3 = 0

g(x) = e^{x-3} - 1 = e^{3-3} - 1 = e^{0} - 1 = 1 - 1 = 0

0 = 0

4 0
4 years ago
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