To eliminate x in the system of equations, we make the coefficient of x in both equations equal and then we subtract both equations from each other.
How to eliminate x in the system of equations.
Since we have the system of equations
Equation 1: 4x + 3y = 20
Equation 2: 3x + 2y = 12
We desire to eliminate x from the system of equations.
To eliminate x,
- we must make the coefficient of x in both equations equal.
- So, we see that if we multiply equation 1 by 3 and equation 2 by 4, both expressions in x will have a coefficient of 12.
So, to eliminate x, we then subtract both equations from each other.
This is shown below
4x + 3y = 20 × 3
3x + 2y = 12 × 4
12x + 9y = 60
12x + 8y = 48
Subtracting both equations, we have
12x + 9y = 60
-
12x + 8y = 48
y = 12
So, to eliminate x in the system of equations, we make the coefficient of x in both equations equal and then we subtract both equations from each other.
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