All categories

3 years ago

Which system of equations has the same solution as the system below

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Answer:

None of the above.

Step-by-step explanation:

The system of equations which should have the same solution as the system below;

x + 4y = 11

4x + 2y = 16

x + 4y = 11

-8x - 4y = - 32

This system of equations is missing from your choices.

The trick is that -2 is multiplied to the second equation of the first system.

i.e -2 (4x + 2y = 16) gives; -8x - 4y = -32

You might be interested in

Rewrite the inequality into slope Intercept form. 6x-2y>-2 PLEASE PLEASE PLEASE HELP!!!

BARSIC [14]

Answer:

I think it's y < 3x +1

Step-by-step explanation:

subtract 6x to the right side. that's -2y > -6x - 2. then divide -2 out of y, now you have to flip the sign. Now you have y < 3x + 1

5 0

2 years ago

Read 2 more answers

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

I really need some help!

mylen [45]

Answer: 89

Step-by-step explanation: First find the mean add all the numbers up and divide by the amount of numbers. 641/7 is 91.57. She needs at least atleast a 89.

7 0

2 years ago

The mean radius of Main Street Park is 15 km and the mean radius of Uptown Park is 8 km. What is the approximate difference in t

Temka [501]

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

5 0

2 years ago

Pls help I need a good grade

maw [93]

Number 2 would be b. 7/12= 0.583 repeating

6 0

2 years ago