Answer:
x = 3, y = 5
Explanation:
Given the equations
y = 2x - 1 → (1)
3x + 2y = 19 → (2)
Substitute y = 2x - 1 into (2)
3x + 2(2x - 1) = 19 ← distribute parenthesis and simplify left side
3x + 4x - 2 = 19
7x - 2 = 19 ( add 2 to both sides )
7x = 21 ( divide both sides by 7 )
x = 3
Substitute x = 3 into (1) and evaluate for y
y = 2(3) - 1 = 6 - 1 = 5