How do You Work out the following simultaneous equations using the substitution method
X+Y=2
X-Y=1
To solve these simultaneous equations using the substitution method, we can solve one of the equations for one variable and then substitute that expression into the other equation to solve for the other variable.
We will start with the first equation:
X + Y = 2
We can rearrange this equation to solve for X in terms of Y:
X = 2 - Y
Now we substitute this expression for X into the second equation:
(2 - Y) - Y = 1
2 - 2Y = 1
-2Y = -1
Y = 1/2
Now that we have found the value of Y, we can substitute it back into the first equation to find the value of X:
X + 1/2 = 2
X = 2 - 1/2
X = 3/2
Therefore, the solution to the simultaneous equations X + Y = 2 and X - Y = 1 is X = 3/2 and Y = 1/2.