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6x+4y=20
4x-2y=4
solving systems of equations by using the elimination method with addition or subtraction or multiplication ...
Elimination Method: we are to eliminate one variable. Choose y
6x + 4y = 20 Notice that if you add 4y and -2y,
4x - 2y = 4 we cant eliminate y.
Multiply 2 to 4x - 2y = 4
6x + 4y = 20
2(4x - 2y = 4)
6x + 4y = 20
8x - 4y = 8
_____________
14x = 28 Solve for x
14x/14 = 28/14
x = 2
Solve y by substituting x = 2 to any of the two equations
4x - 2y = 4 , x = 2
4(2) - 2y = 4
8 - 2y = 4
-2y = -4
y = 2
Check if the answers x = 2 and y = 2 makes the two equation true after
substituting the value of x and y to the two equations.
Happy calculating
Rachel