Question

•6x-3y=21
•-3x+2y=5

(solve using elimination)​

Answer 1

y = 31

Explanation:

Answer 2

By the elimination method the solution for equations 6x-3y=21 and -3x+2y=5 are x = 19 and y = 31.

Explanation:

The given is,

`6x-3y=21`......................................(1)

`-3x+2y=5`........................................(2)

Step:1

By elimination method,

Multiplying the equation (1) by 2 ( Eqn(1) × 2 )

`12x-6y=42`..............................(3)

Multiplying the equation (2) by -3 ( Eqn(2) × -3)

`9x-6y=-15`..............................(4)

Step:3

Subtracting the equations (3) and (4)

`12x-6y=42`

`9x-6y=-15`

( - )

(
`12x-9x` ) + (
`-6y + 6y` ) = (
`42 +15` )

(
`3x` ) = 57

`x = 19`

Step:4

Substitute the x value in Eqn (1),

`6x-3y=21`

( 6 × 19 ) - (
`3y` ) = 21

-
`3y` = -93

`y = 31`

Step:5

Check for solution,

Substitute the values of x and y in Equation (1),

`6x-3y=21`

( 6 × 19 ) - ( 3 × 31 ) = 21

21 = 21

Result:

The solution for equations 6x-3y=21 and -3x+2y=5 are x = 19 and y = 31.