Answer:
The two lines intersect (in other words, they have a common meeting points)
Step-by-step explanation:
Thinking process:
A linear equation takes the form of [tex]y = mx + c[/tex]
where , m = gradient
c = y-intercept (point where the line cuts the y-axis)\
Suppose we have these two linear equations: [tex]y = 2x + 4\\ 2y = -6x -1[/tex]
We can find the point of intersection by solving the two equations simultaneously like this:
sub y = 2x + 4 into equation (2) gives:
2(2x+4) = -6x -1
solving yields [tex]x=[/tex] - 0.9
Substituting x= -0.9 into equation 1 yields:
[tex]y = 2 (-0.9) + 4\\ = -1.8 + 4\\ = 2.2[/tex]
y = 2.2
In terms of the Cartesian coordinates (x, y) the point of intersection will be (-0.9, 2.2)
Hence, the point of intersection is a solution of two linear equations.
