Question

What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5? ​

Answer 1

Answer:

the graph lines of the equations x+3y-2 and 2x-y+5 will intersect at a point.

step-by-step explanation:

The junction of two lines is referred to as the point of intersection. The equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 correspondingly depict these two lines. The intersection of the two lines is depicted in the following diagram. We are also able to locate the intersection of two or more lines.

If two consecutive lines are not perpendicular, they will at some point come together. The meeting place of two straight lines is known as the point of intersection. The intersection point can be determined by simultaneously solving differential system for two parallel planes that are intersecting.

The given equations are $x+3y-2$ and $2x-y+5$

Here, a₁ = 1,  b₁ = 3, c₁ = -2 and

          a₂ = 2, b₂ = -1, c₂ = 5

Now,

$\frac{a_{1} }{a_{2} } =\frac{1}{2} ,$

$\frac{b_{1} }{b_{2} } =\frac{3}{1}$

   $=3,$

$\frac{c_{1} }{c_{2} } =-\frac{2}{5}$

$\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} }$

∴ The formulae' graph segments will intersect at this point.

#SPJ3