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equation 2: x + y = 2

substitute 1 in 2

1 + y = 2

y = 2 - 1 (when 1 goes that side it becomes negative)

y = 1

eq 2 : x - y - 4 = 0

if we eliminate y we get:

x -2 = 0

x - 4 = 0

add both,we get

2x -6 = 0

2x = 6

x = 3

Step 1: 5x + 3y = 26 [Equation 1.]

Step 2: x - 3y = 4 [Equation 2.]

Step 3: x = 3y + 4 [Rearrange equation 2.]

Step 4: 5(3y + 4) + 3y = 26 [Substitute the values.]

Step 5: 18y + 20 = 26 [Group the like terms.]

Step 6: 18y = 6 [Subtracting 20 from the two sides of the equation.]

Step 7: [Divide throughout by 18.]

Step 8: [Substitute the values.]

Step 9: x = 5 [Simplify.]

Step 10: The solution for the linear system is .