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Sagot :
The system of the equations that have the solution of (2, -3) are given below.
3x + 2y = 0 and 3y = 2x - 13
What is the linear system?
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Write a system of equations with the solution (2, -3).
From a single point, an infinite number of lines pass through this point.
Let one line is passing through the origin. Then the equation of the line will be
[tex]\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x[/tex]
And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).
[tex]\rm y = \dfrac{2}{3} x + c[/tex]
Then this line also passes through a point (2, -3). Then the value of c will be
[tex]\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13[/tex]
Then the equation of the line will be
3y = 2x -13
More about the linear system link is given below.
https://brainly.com/question/20379472
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