Question

Solve the following system by any method. 2x – 6y = 24 –5x + 6y = –6

A. (4, –1)
B. (0, –6)
C. (6, –1)
D. (–6, –6)

Answer 1

2x - 6y = 24
-5x + 6y = -6
----------------add
-3x = 18
x = 18/-3
x = -6

2x - 6y = 24
2(-6) - 6y = 24
-12 - 6y = 24
-6y = 24 + 12
-6y = 36
y = 36/-6
y = -6

solution is : (-6,-6)

Answer 2

D) ( -6 , -6 ) .

Explanation:

Given : 2x – 6y = 24 and –5x + 6y = –6 .

To find : Solve the following system by any method.

Solution : We have given that

2x – 6y = 24 -------(1)

–5x + 6y = –6 ------(2)

______________ ( Adding both equations)

-3x + 0 = 18.

________________

-3x = 18

On dividing by - 3 both sides

x = -6 .

Plugging the value x = -6 in equation 1.

2x - 6y = 24 .

2 ( -6) - 6y = 24.

-12 -6y = 24 .

On adding both sides by 12.

- 6y = 24 +12

-6y = 36

On dividing by -6 both sides.

y = -6 .

Solution ( -6 , -6 ) .

Therefore, D) ( -6 , -6 ) .