this system of equations has infinitely many solutions. Which of the followimg statements is NOT true?
1 answer:
You might be interested in
Answer:
ONE SOLUTION
Step-by-step explanation:
When two points on a line are given, the equation of the line is given by the formula:
where and
are the points on the line.
Here, the first set of points are: and
.
Therefore, and
.
The line passing through this is given by:
∴ 2x + y - 1 =0
Now, for the second line, the points are:
and
.
Therefore,
∴ 2x - y + 2 = 0
Now, to determine the number of solutions the two equations have, we solve these two equations,
Adding Eqn(1) and Eqn(2) we get:
4x = -1
And .
Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.