Question

solve eliminating method 15x+17y=21;17x+15y=11​

Answer 1

SOLUTION:-

Given

▪︎ 15x+17y=21

▪︎ 17x+15y=11

To find

X and Y

Explanation

▪︎15x+17y=21 _________(1)

▪︎ 17x+15y=11__________(2)

On adding eq 1 and 2

15x + 17y = 21

17x +15y = 11

___________

32x + 32y = 32

32(x+y)=32

x+y=1_________(3)

On subtracting eq 2 from 1

15x + 17y =21

17x + 15y =11

- - -

___________

-2x + 2y = 10

2(-x+y)=10

-x+y=5___________(4)

On adding eq 3 and 4

x + y = 1

-x+y = 5

________

2y= 6

y= 6/2

y= 3

Putting y=3 in eq 3

x+y=1

x+3=1

x=1-3

x= -2

So the value of x=-2 and y=3

Answer 2

Answer:

Given

▪︎ 15x+17y=21

▪︎ 17x+15y=11

To find

X and Y

Explanation

▪︎15x+17y=21 _________(1)

▪︎ 17x+15y=11__________(2)

On adding eq 1 and 2

15x + 17y = 21

17x +15y = 11

___________

32x + 32y = 32

32(x+y)=32

x+y=1_________(3)

On subtracting eq 2 from 1

15x + 17y =21

17x + 15y =11

- - -

___________

-2x + 2y = 10

2(-x+y)=10

-x+y=5___________(4)

On adding eq 3 and 4

x + y = 1

-x+y = 5

________

2y= 6

y= 6/2

y= 3

Putting y=3 in eq 3

x+y=1

x+3=1

x=1-3

x= -2

So the value of x=-2 and y=3

Step-by-step explanation:

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