Answer:
x = 3 , y = 4
Explanation:
given the system of equations
4x + 3y = 24 → (1)
x = 2y - 5 → (2)
substitute x = 2y - 5 into (1)
4(2y - 5) + 3y = 24 ← distribute parenthesis and simplify left side
8y - 20 + 3y = 24
11y - 20 = 24 ( add 20 to both sides )
11y = 44 ( divide both sides by 11 )
y = 4
substitute y = 4 into either of the 2 equations and solve for x
substituting into (2)
x = 2(4) - 5 = 8 - 5 = 3
the solution is x = 3 , y = 4