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Vinil7 [7]
3 years ago
13

A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?

Mathematics
1 answer:
NISA [10]3 years ago
8 0

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

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How do u graph 2y=-4x+6
gladu [14]

Answer:

3 would be your y intercept

then from the point 0,0 put 2 in as slope

Step-by-step explanation:

First turn the equation into y=mx+b (slope-intercept form)

Which turns into y= -2x+3

in y=mx+b

m is slope and b is y intercept

3 would be your y intercept

then from the point 0,0 put 2 in as slope

Hope this helps! have a nice day! Please consider making me Brainliest!

4 0
3 years ago
Select the equation of the line parallel to the equation y = -2x - 7  that passes through the point (3, 1).
cupoosta [38]
Parellel would mean that it's the same slope, so it's one of the first three. Checking each of them individually, we see that the first one, when you plug in 3, results in 1, getting (3,1)!
6 0
3 years ago
a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop
Kobotan [32]

Answer:

Table:

0,200

4, 262

8,344

12, 450

Population after 12 years is 450 deer

Initial population is 200 deer.

Step-by-step explanation:

You take the x in the table and plug it in as an exponent so you will need a calculator or multiple the 1.07 by that many times so 1.07 12 times multipled by itself. and the initial is 0 years so anything to the exponent of 0 is 1 so that show i got 200 for the x=0

8 0
3 years ago
Help please pretty please i do not understand
Natalija [7]
If i remember correctly i think you just cross multiply   <span />
7 0
3 years ago
Read 2 more answers
Draw a Venn diagram to help answer the following survey:
MrRissso [65]

Answer:

a)8

b)7

c)26

d)60

Step-by-step explanation:

The Venn Diagram is attached

For number of people who saw a single movie only

See the number associated with the movie name excluding all intersection parts

For people who watched only 2 movies exactly

Sum all the intersection parts of any 2 circle parts=6+12+8=26

For total number of students surveyed

Sum up every number in the Venn diagram including the number 5 outside 3 circles(it represents that 5 people did not watch any of the films)

=7+12+10+6+4+8+8+5=60

6 0
3 years ago
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