Question

Solve the simultaneous equations below.
7x-6y = 30
2x+6y= 24

Answer 1

To solve the simultaneous equations, use the method of elimination. Add the two equations to eliminate the y term, and then solve for x. Substitute the value of x back into one of the original equations to solve for y.

Step-by-step explanation:

To solve the given simultaneous equations, we can use the method of elimination. We add the two equations together to eliminate the y term:

7x - 6y + 2x + 6y = 30 + 24

9x = 54

Dividing both sides by 9, we get:

x = 6

Substituting the value of x back into one of the original equations, we can solve for y:

7(6) - 6y = 30

42 - 6y = 30

Subtracting 42 from both sides, we get:

-6y = -12

Dividing both sides by -6, we get:

y = 2

Therefore, the solution to the simultaneous equations is x = 6 and y = 2.

Answer 2

(x,y)—>(6,2)

Step-by-step explanation:

Add both equations to eliminate y

9x=54

x=6

plug x=6 into either equation

2(6)+6y=24

6y=24-12

y=12/6=2