All categories

3 years ago

What do you predict the solution for the system 5x-6y=7 and 6x-7y=8 will be ?

1 answer:

8 0

System of Linear Equations entered :

[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :

-6y + 5x = 7 -7y + 6x = 8

Solve equation [2] for the variable x

[2] 6x = 7y + 8

[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]

[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y

[1] y = - 2
// By now we know this much :

x = 7y/6+4/3
y = -2
// Use the y value to solve for x

x = (7/6)(-2)+4/3 = -1

You might be interested in

Find the equation of a line passing through the point(-3,0) and (2,-3)

Svetradugi [14.3K]

Answer <u>(assuming the question allows it to be written in slope-intercept form)</u>:

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$

5 0

3 years ago

Read 2 more answers

Each grade level at Hooperville Schools has 298 students.

madreJ [45]

Answer:

(a) 3,874 students.

(b) 46,488 students.

Step-by-step explanation:

We have been given the each grade level at Hooperville Schools has 298 students.

(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.

$\text{Students that attend Hooperville Schools}=13\times 298$

$\text{Students that attend Hooperville Schools}=3,874$

Therefore, 3,874 students attend Hooperville Schools.

(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.

To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.

$\text{Students that attend Willington Schools}=12\times 3,874$

$\text{Students that attend Willington Schools}=46,488$

Therefore, 46,488 students attend schools in Willington.

4 0

3 years ago

the table shows the number of gallons of gasoline the beckleys purchased on their road trip. what was the total cost for gas for

s2008m [1.1K]

12 x 4.89 = 50.68

17 x 4.72 = 80.24

15 x 5.09 = 76.35

50.68 + 80.24 + 76.35 = $207.27

4 0

4 years ago

Read 2 more answers

Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10

siniylev [52]

Answer:

Please find the graph in the attached file.

Step-by-step explanation:

$\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\$

3 0

3 years ago

HELP ASAP!!!!!

aleksandr82 [10.1K]

Answer:

14 mph

Step-by-step explanation:

8 0

3 years ago

What do you predict the solution for the system 5x-6y=7 and 6x-7y=8 will be ?​

What do you predict the solution for the system 5x-6y=7 and 6x-7y=8 will be ?