All categories

3 years ago

What is the y coordinate in the solution for the system of linear equations below

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

Answer:

y=6

Step-by-step explanation:

use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:

-3x+2y=6

2(4x-y=2)

-3x+2y=6

8x-2y=4

Combine like terms and divide by 5 on both sides.

5x=10

x=2

Plug x in to find y:

4(2)-y=2

8-y=2

y=6

You might be interested in

15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

y = mx + c

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15y = -28 x + 205.

3 0

3 years ago

Expand 4(z+6) into the simplest form.

Ratling [72]

4z + 24 is the answer

4 0

3 years ago

Is 28.42 > 28. 404 true

Sav [38]

Answer:

28.42 > 28.404

it is true

3 0

3 years ago

Read 2 more answers

What is the mode? 0-0-2-1-3-2-1-0

exis [7]

The mode is 0 since it is the most frequent.

4 0

3 years ago

Read 2 more answers

Fghtyuhkjk 1 sdfgdfhgfdgh

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

asjdyh aw8ehjw ashhh we8hdajs faedu wendlajsf a

3 0

3 years ago

Read 2 more answers