Question

Solve the simultaneous equation
2x y=18. x-y =6

Answer 1

To solve the simultaneous equations 2x + y = 18 and x - y = 6, we find x in terms of y from the second equation and substitute it into the first, giving us y = 2. Subsequently, substituting y into the second equation gives us x = 8.

Step-by-step explanation:

To solve the given simultaneous equations:

• 2x + y = 18
• x - y = 6

First, we can solve the second equation for x:

x = y + 6

Now substitute this value of x into the first equation:

2(y + 6) + y = 18

Combine like terms:

2y + 12 + y = 18

Now combine y terms:

3y + 12 = 18

Subtract 12 from both sides:

3y = 6

Divide both sides by 3:

y = 2

Now substitute y back into the equation for x:

x = y + 6

x = 2 + 6

x = 8

The solution to the simultaneous equations is x = 8 and y = 2.