Final answer:
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.