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Mathematics

1 answer:

Ne4ueva [31]3 years ago

4 0

Answer:

x = $-\frac{1}{3}$ , y = 2

Step-by-step explanation:

3x + 3y - 7 = 12x + y

6y - 12x - 1 = -45x

(3x - 12x) + (3y - y) = 7

(-12x + 45x) + 6y = 1

-3(-9x + 2y = 7)

33x + 6y = 1

27x - 6y = -21

33x + 6y = 1

60x = -20 -> x = -20/60 = -1/3

-9x + 2y = 7 -> y = $\frac{7+9x}{2}$ = $\frac{7+9*-\frac{1}{3}}{2}$ = 2

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britney is buying a hat at the mall. the shirt costs $31.59, and the hat costs $19.46. if Britney gives the sales clerk $100.00,

kiruha [24]

Answer: 48.95

Step-by-step explanation:

so first I would add together the cost of the shirt and hat

31.59 +19.46 = 51. 05

then I would take away the 51.05 ( the total ) from $100

100 - 51.05 = $48.95

So she would get $48.95 for change

7 0

3 years ago

For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18

anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;