Solve the equations. 8x + 7y = 39 4x – 14y = –68

Mathematics

1 answer:

Katena32 [7]4 years ago

7 0

Answer:

y = 5, x= 1/2

Step-by-step explanation:

8x+7y = 39

4x - 14y = -68

x = 39/8 - 7/8y

4(39/8 - 7/8y) -14y = -68

19.5 - 3.5y -14y = -68

-17.5y = -87.5

y = 5

x = 39/8 - 7/8(5)

x = 0.5 or 1/2

You might be interested in

In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students

Elena-2011 [213]

30 students

14 have no siblings

that leaves 16 with siblings

6 have brothers and 12 have sisters which = 18 so 2 of the students have both a brother and a sister

2/30 students have a brother and a sister

1/15 chance

3 0

3 years ago

When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate

svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505