Answer:
Step-by-step explanation:
[tex]15) f(x) = 10-\dfrac{9}{2}x\\10-\dfrac{9}{2}x = -53\\\\-\dfrac{9}{2}x=-53-10\\\\\dfrac{-9}{2}x= - 63\\\\x = -63*\dfrac{2}{-9}\\\\x = 7*2\\\\x = 14[/tex]
[tex]17) \dfrac{1}{8}y = \dfrac{-3}{4}x - 1\\\\Multiply \ the \ entire \ equation \ by \ 8\\\\8*\dfrac{1}{8}y=8*\dfrac{-3}{4}x-1*8\\\\\\y = 2*(-3)x-8\\\\y = -6x - 8\\\\6x + y = -8\\[/tex]
[tex]18) 5y = 35 + 10x\\\\\dfrac{5y}{5}=\dfrac{35}{5}+\dfrac{10x}{5}\\\\y = 7+2x\\\\-2x + y = 7\\\\[/tex]
[tex]19)x -4y = 28\\\\ -4y = -x + 28\\\\\dfrac{-4y}{-4}=\dfrac{-x}{-4}+\dfrac{28}{-4}\\\\\\y = \dfrac{1}{4}x-7[/tex]
x = 0 ; y = 0 - 7 = -7 (0 .-7)
[tex]x = 4 ; y = \dfrac{1}{4}*4-7 = 1 - 7 = -6 ; (4 , -6)\\\\\\x = -4 ; y = \dfrac{1}{4}*(-4) - 7 = -1 - 7 = -8 ; (-4,-8)[/tex]
Plot the points (0,-7) , (4,-6) and (-4 , -8) in the graph and join the points
