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Natalka [10]
3 years ago
6

Solve the system using elimination 4x-7y=3 x-7y=-15

Mathematics
2 answers:
BigorU [14]3 years ago
6 0
The answer is 6,3
.......
ehidna [41]3 years ago
5 0

Answer: x=6 and y=3

Step-by-step explanation:

4x - 7y = 3 -------(1)

x - 7y = -15 ------(2)

equation(1) - equation (2)

3x = 18

Divide bothside by 3

x = 18/3

x= 6

also, multiply equation (2) by 4

4x - 28y = -60--------------(3)

subtract equation(3) from equation(1)

21y = 63

divide bothside by 21

y = 63/21

y = 3

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The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9                                ⇒x=9-y

Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6

x=9-y
x=9-6
x=3

The number=10x+y=10(3)+6=36

Answer: the number is 36.

to check:
63-36=27
6+3=9
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