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To solve the simultaneous equations, we’ll use the substitution or elimination method. Let’s start with the equations:
-
(Equation 1) -
(Equation 2)
We can solve Equation 2 for
Now, we substitute this expression for
Expanding this we get:
Combining like terms:
Adding 27 to both sides gives:
Dividing both sides by 22, we find:
Now we substitute
Thus, the solution to the simultaneous equations is:
To verify, we can plug
-
Checking Equation 1:
✓ -
Checking Equation 2:
✓
Both equations are satisfied, confirming that the solution is correct!
