Assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62

y varies inversely with x is written as

y = k /x

where k is the constant of variation

y = 8 x = 1.55

8 = k / 1.55

Multiply through by 1.55

k = 12.4

The formula is

y = 12.4 / x

when y = - 0.62

- 0.62 = 12.4/x

- 0.62x = 12.4

Divide both sides by - 0.62

x = 12.4/-0.62

x = - 20

When y = - 0.62 x = - 20

Hope this helps

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

idk

step-by-step explanation: