Addition-subtraction method

8.92x-5.42y=3.41 5.83x+1.07y=2.37

We want to use the Addition-Subtraction method to solve

8.92x - 5.42y = 3.41 (1)

5.83x + 1.07y = 2.37 (2)

We shall eliminate y from the two equations by Addition.

Multiply (1) by 1.07 and multiply (2) by 5.42 to obtain

1.07 * (8.92x - 5.42y) = 1.07*3.41

9.5444x - 5.7994y = 3.6487 (3)

5.42 * (5.83x + 1.07y) = 5.42*2.37

31.5986x + 5.7994y = 12.8454 (4)

Add (3) and (4) to obtain

9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454

41.143x = 16.4941

x = 0.4009

From (2), obtain

1.07y = 2.37 - 5.83x

= 2.37 - 5.83*0.4009

= 0.0328

y = 0.0307

Answer:

x = 0.4009

y = 0.0307