X+y=1
X_y=3
In Elimination Method
Did you mean
x+y=1
x-y=3 ??
if so, add them to get
2x=4
x=2
now subtract them
2y = -2
y = -1
Thanks off to school tomorrow ❤ u
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In the elimination method, the goal is to eliminate one variable so that we can solve for the other variable. Let's solve the given system of equations using the elimination method.
The given equations are:
1) X + y = 1
2) X - y = 3
To eliminate a variable, we need to manipulate the equations in such a way that when we add or subtract them, one of the variables will cancel out.
In this case, if we add equation (1) and equation (2), the y terms will cancel out:
(X + y) + (X - y) = 1 + 3
2X + 0y = 4
2X = 4
Now we have a new equation: 2X = 4. To solve for X, we divide both sides of the equation by 2:
2X/2 = 4/2
X = 2
Now that we have the value of X, we can substitute it back into one of the original equations to solve for y. Let's use equation (1):
X + y = 1
2 + y = 1
y = 1 - 2
y = -1
Therefore, the solution to the system of equations is X = 2 and y = -1.