Question

Solve the system of equations

​
2x−9y=14
x=−6y+7
​
x, equals ?
y, equals ?

Answer 1

x = 7

y = 0

Explanation:

use substitution method:

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

-12y + 14 - 9y = 14

-21y = 0

y = 0

x = -6(0) + 7

x = 7

Answer 2

Explanation:

Hey there!

Given eqautions are;

2x-9y= 14……………(i)

x= -6y+7………………(ii)

~ Putting the value of"x" from eqaution (ii) in eqaution (i).

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

~ Simplify it.

-12y +14 -9y= 14

21y = 0

y =0/21

Therefore, y= 0.

Now,

~ Put value of "x" on eqaution (ii).

X = -6(0)+7

x= (0)+7

x= 7

Therefore, x= 7.

Check:

Putting the value of X and y in eqaution (ii)

7= -6(0)+7

7=7(True).

x= 7

y= 0

Hope it helps....