A system of equation has no solutions. If y=8x+7 is one of the equation, which could be the other equation

1 answer:

8 0

This function, y=8x+7 is linear with a slope (m) =8.

Any other function with slope m = 8 could be the other equation

Example:

y=8x+10
y=8x-5/3
y=8x+10,000
etc.
In short there are an infinity of function

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Please help with math question

Naddik [55]

1- Solution using graphs:
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.

2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II

Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.

Hope this helps :)