Question

Solve the system of equations. ​ 2x−9y=14 x=−6y+7 ​

Answer 1

Answer:

y = 0

x = 7

Step-by-step 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

Answer 2

Step-by-step explanation:

$put \: x \: into \: equation \: 1$

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

$- 12y + 14 - 9y = 14$

$- 21y + 14 = 14$

$- 21y = 14 - 14$

$- 21y = 0$

$\frac{ - 21y}{12} = \frac{0}{21}$

$y = 0$

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

$x = 6y + 7$

$x = 6(0) + 7$

$x = 0 + 7$

$x = 7$