Sign In
If either of the variable terms would cancel out the corresponding variable term in the other equation, you can use the Elimination Method to solve the system.
(8,- 24)
To solve a system of linear equations using the Elimination Method, one of the variable terms needs to be eliminated when one equation is added to or subtracted from the other equation. In this exercise, this means that either the x-terms or the y-terms must cancel each other out.
4 x+ y=8 & (I) - 3 x- y=0 & (II)
(II): Add (I)
(II): Add and subtract terms
With this, we can now solve for y by substituting the value of x into either equation and simplifying.
(I): x= 8
(I): Multiply
(I): LHS-32=RHS-32
The solution to the system of equations, the point of intersection, is (8,- 24).