The equivalent equation to x + y = 4 is 2x + 2y = 8
The solution to the simultaneous equations is x = 3 and y = 1.
How to solve simultaneous equations.
Let's start with the equation x + y = 4.
a) To create an equivalent equation, we can multiply each term by 2:
2x + 2y = 8
Now, let's use this result to solve the simultaneous equations:
b) Given system:
2x + 3y = 9-------------1
2x + 2y = 8 ------------2
Subtracting the second equation from the first:
(2x + 3y) - (2x + 2y) = 9 - 8
Simplifying:
y = 1
Substitute y = 1 into one of the original equations.
Let's use x + y = 4
x + 1 = 4
Solving for x
x = 3
So, the solution to the simultaneous equations is x = 3 and y = 1.