Answer:
x = 4 , y = 3
Explanation:
given the equations
8x - 2y = 26 → (1)
5x + y = 23 ( subtract 5x from both sides )
y = 23 - 5x → (2)
substitute y = 23 - 5x into (1)
8x - 2(23 - 5x) = 26 ← distribute parenthesis on left side and simplify
8x - 46 + 10x = 26
18x - 46 = 26 ( add 46 to both sides )
18x = 72 ( divide both sides by 18 )
x = 4
substitute x = 4 into (2) and solve for y
y = 23 - 5(4) = 23 - 20 = 3
solution is x = 4 , y = 3