Question

Solve using substitution method 5x-2y+25=0; 4y-3x=29​

Answer 1

5x - 2y + 25 = 0

5x = 2y - 25

x = (2y - 25)/5

substitute x in eq. 2

4y - 3(2y - 25)/5 = 29

multiply whole equation by 5

20y - 3(2y - 25) = 145

20y - 6y +75 = 145

14y = 145 - 75

14y = 70

y = 70/14 = 5

substitute y = 5 in eq. 1

x = (2x5 - 25) /5

x = (10 - 25)/5

x = -15/5 = -3