Question

Solve the system of equations.
​

2x−9y=14
x=−6y+7
​

Answer 1

Explanation:

`put \: x \: into \: equation \: 1`

`2( - 6y + 7) - 9y = 14`

`- 12y + 14 - 9y = 14`

`- 21y + 14 = 14`

`- 21y = 14 - 14`

`- 21y = 0`

`( - 21y)/(12) = (0)/(21)`

`y = 0`

`put \: y = 0 \: into \: equation \: 2`

`x = 6y + 7`

`x = 6(0) + 7`

`x = 0 + 7`

`x = 7`

Answer 2

y = 0

x = 7

Explanation:

2x − 9y = 14 ⇒ ( 1 )

x = − 6y +7 ⇒ ( 2 )

First, let us find the value of y.

For that, replace x with ( - 6y + 7 ).

Let us take equation 1 for that.

2x − 9y = 14

2 ( - 6y + 7 ) - 9y = 14

-12y + 14 - 9y = 14

21y = 14 - 14

21y = 0

Divide both sides by 21.

y = 0

And now let us take equation 2 to find the value of x by replacing y with 0.

2x − 9y = 14

2x - 9 × 0 = 14

2x - 0 = 14

2x = 14

Divide both sides by 2.

x = 7