How many solutions does this system have?
1 answer:
A system of equation may have one, zero or infinitely many solutions
The system of equation has no solutions
The systems of equation are given as:
Substitute -6x - 5 for y in
Open brackets
Subtract 12x from both sides of the equation
The above equation is not true i.e.
Hence, the system of equation has no solutions
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = + c ⇒ c = - 3 -
= -
y = x -
← equation of line