If a graph of a system of two equations shows two lines that coincide on a coordinate plane, how many solutions does the

10 answers
Question:

If a graph of a system of two equations shows two lines that coincide on a coordinate plane, how many solutions does the system have? a) no solution b) exactly one solution c) infinitely many solutions d) cannot be determined from the graph

Answers

If a graph of a system of two equations shows two lines that coincide on a coordinate plan there would be C.)Infinitely many solutions

I hope this helps, have a great day.

C) infinitely many solutions

6x + 7y = -9

-4x - 5y = 5

We can use either substitution or elimination. I prefer substitution so I will explain it that way. You can use elimination as well.

We can solve for x first so we will need to substitute y in terms of x.

6x + 7y = -9
7y = -9 - 6x
y = (-9 - 6x)/7

Plugging this into the other equation:

-4x - 5[(-9 - 6x)/7] = 5
-4x + (45 + 30x)/7 = 5
-28x  + 45 + 30x = 35
2x + 45 = 35
2x = - 10
x = -5

Insert this into the other equation to solve for y.

6(-5) + 7y = -9
-30 + 7y = -9
7y = 21
y = 3

Your answer should be (-5, 3). Hope this helps!

B) one solution

Step-by-step explanation:

B)  one solution

Option A) no solution

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The solution of the system of equations is the intersection point both graphs

In this problem the lines are parallel

so

The lines do not intersect

Therefore

The system has no solution ( Is an inconsistent system)


[tex]Given that the the graph represents a system of equations on a coordinate plane, how many solutions[/tex]

Hello there!

x + 2y = 5
y = x + 1

We gonna solve y = x + 1 for y
Let's start solving the equation by substitute x + 1 for y in x + 2y = 5
x + 2y = 5 (we gonna replace y by x +1)
x + 2( x + 1) = 5
x + 2x + 2 = 5
3x + 2 = 5
3x = 5 - 2
3x = 3
x = 3/3
x = 1

Since we have the value for x, it will be easier for us to find y. In order to find y we just need to replace x by its value which is 1. So let's go!

We have y = x + 1 >> so we gonna substitute 1 for x
y = x + 1
y= 1+1
y=2
see easy :)

The final answer is: (1,2)
The correct option is A (Yes)

Test them
(x,y)
x=1 and y=2

x+2y=5
1+2(2)=5
1+4=5
5=5
true

y=x+1
2=1+1
2=2
true

yes
my answer is A

Wheres the graph? i cant help if theres no graph, sorry

Yes it is a solution

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