Question

x+2y=-1 and 2x-3y=12 by elimination method with check​

Answer 1

Given Equation

x + 2y = -1 (i)

2x - 3y = 13 (ii)

To find

The value of x and y by using Elimination Method

Now take

x + 2y = -1 (i)

2x - 3y = 13 (ii)

To Eliminate x multiply by 1 in (ii)eq and multiply by 2 in (i)eq

x + 2y = -1 (i) × 2

2x - 3y = 13 (ii) × 1

we get

2x + 4y = -2 (i)

2x - 3y = 13 (ii)

Subtracte (ii) from (i)

2x + 4y - ( 2x - 3y ) = -2 - 13

2x + 4y - 2x + 3y = -15

4y + 3y = -15

7y = -15

y = -15/7

Put the value of y on (i) eq

x + 2y = -1

x - 30/7 = -1

x = 30/7 - 1

x = (30 - 7)/7

x = 23/7

Answer

x = 23/7 and y = -15/7

Now Check our Answer

x + 2y = -1 (i)

2x - 3y = 13 (ii)

put the Value of x = 23/7 and y = -15/7

x + 2y = -1 (i)

23/7 + 2×-15/7

23/7 - 30/7

-7/7

-1

Hence Proved

2x - 3y = 13

2(23/7) - 3(-15/7)

46/7 + 45/7

91/7

13

Hence Proved

Answer 2

Multiply eq-(1) by 2*

• 2x+4y+2=0-(3)

Add Eq-(3)&(2)

Refer Attachment for addition

we get, y= 2-(4)

•Using eq-(4) in eq-(1) or eq(2)•

I prefer using in eq-(1)*

• x+2×2=-1
• x=-1-4
• x=-5

x=-5

and

y=2

hope it helps