Use a table to find two consecutive integers between which the solution lies.
3.4 = 1.3 - 0.5 y
between what two consecutive integers does the solution lie?

  -5 and -4

Step-by-step explanation:

It is far easier just to solve the equation than to determine appropriate integer bounds on the solution.

In the attachment, we show a couple of initial trials at solutions. The nearness of y=5 to being correct suggests that the next higher integer may be helpful, too. It is.

We find -4 and -5 to bracket the solution.

_____

The actual solution is (3.4 -1.3)/-0.5 = -4.2.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11