Solve the simultaneous equations.

Question

x - 2y = 10

3x + 2y = 6

Answer 1

To solve these simultaneous equations, we can use the method of elimination.

Adding the two equations together, we get:
x - 2y + 3x + 2y = 10 + 6
4x = 16
x = 4

Now substitute the value of x back into one of the original equations. Using the first equation:
4 - 2y = 10
-2y = 6
y = -3

Therefore, the solution to the simultaneous equations x - 2y = 10 and 3x + 2y = 6 is x = 4 and y = -3.