Question

use elemination to solve this equation

4x-6y=26
5x-4y=8

Answer 1

Answer:

By using elimination method,

x=-4 and y=-7

Step-by-step explanation:

given:- 4x-6y=26-----(i)

5x-4y=8-------(ii)

To find:- value of x and y

Solution-

Multiplying equation(i) by 5

5(4x-6y=26)

20x-30y=130---------(iii)

And Multiplying equation(ii) by 4

4(5x-4y=8)

20x-16y=32-----------(iv)

Subtracting eq.(iv) from (iii)

20x-30y=130

-(20x-16y=32)

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

-14y=98

y=98/-14

∴y= -7

Substituting value of y in eq.(i),we get

4x-6y=26

4x-6.-7=26

4x+42=26

4x=-16

∴x=-4

Answer 2

Answer:

x=7

y=17

Step-by-step explanation:

4x -6y= 26....(A)

5x-4y= 8...(B)

By elimination method

Multiplying by 5 in first equation i.e

20x-30y= 130....(i)

Now, Multiplying by 4 in second equation i.e

20x-16y= 32....(ii)

Evaluating (i) and (ii)

20x-30y=130

20x-16=32

14y=98

y=7

Putting value of y in (A)

So,

4x-6(7)=26

4x-42=26

4x=26+42

4x= 68

x= 17

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