Question

Tell whether the ordered pair is a solution to the system of linear equations. 1 point

*
6x + 3y = 12
(5.-6);
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3

Answer 1

The ordered pair (5, -6) is a solution to the system of linear equations since substituting x with 5 and y with -6 into each equation shows that both equations hold true.

Step-by-step explanation:

To determine whether the ordered pair (5, -6) is a solution to the system of linear equations, we must substitute x with 5 and y with -6 into each equation and see if the equations hold true.

• For the first equation, 6x + 3y = 12, we substitute x and y to get:
• 6(5) + 3(-6) = 30 - 18 = 12, which is true.

• For the second equation, 4x + y = 14, we substitute x and y to get:
• 4(5) + (-6) = 20 - 6 = 14, which is also true.

Since the ordered pair satisfies both equations, it is indeed a solution to the system of linear equations.

Answer 2

x = 5 and y = -6

Step-by-step explanation:

The given equations are :

6x + 3y = 12 ...(1)

4x + y = 14 ...(2)

Multiply equation (2) by 3.

12x + 3y = 42 ...(3)

Subtract equation (1) from (3).

12x + 3y-(6x + 3y) = 42-12

12x+3y-6x-3y = 30

6x = 30

x = 5

Put th value of x in equation (2).

4(5) + y = 14

20 +y = 14

y = -6

So, the solution of the equations are x = 5 and y = -6.