Solve the equation for y.
4x – 5y = 9
A. y = 4/5x - 9/5
B. y = 5/4x + 9/4
C. y = -5/4x - 5/9
D. -4x - 9
Which ordered pairs in the form (x, y) are solutions to the equation 4x – 5y = 24?
Choose all answers that are correct.
A. (−9, −12)
B. (1, −4)
C. (4, 8)
D. (6, 0)
Answers
⇒4x = 5y +9
⇒4x -9 = 5y
⇒(4x -9)/5 = 5y/5
⇒y = (4x-9)/5
⇒y = (4/5)x - 9/5
2. To check whether they are solution or not, put the values in the equation and see if it satisfies the equation or not.
Equation is 4x – 5y = 24 or 4x – 5y - 24 = 0
A. 4(-9) – 5(-12) - 24 = -36 +60 -24 = 0 <<<<<<<<solution
B. 4(1) – 5(-4) - 24 = 4+20-24 = 0 <<<<<<<<<<<<solution
C. 4(4) – 5(8) - 24 = 16 -40-24 =-48 <<<<<<<<<<<not a soluton
D. 4(6) – 5(0) - 24 = 24 -0-24 = 0<<<<<<<<<<<<<< solution.
1.
4x-5y=9
⇒-5y =9-4x
applying - on both sides
⇒-(-5y)=-(9-4x)
⇒5y= -9+4x
⇒y=4x-9÷5
⇒y=4x/5-9/5(A)
2.4x -5y=24
A.4(-9)-5(-12)=24⇒-36-(-60)⇒-36+60⇒24 A-SATISFIED
B.4(1)-5(-4)⇒4-(-20)⇒4+24⇒24 B-SATISFIED
C.4(4)-5(8)⇒24-40⇒-14 C-NOT SATISFIED
D.4(6)-5(0)⇒24-0⇒24 D.SATISFIED
SO A,B AND D ARE SOLUTIONS FOR THIS EQUATION.