Exercises on equations of lines and linear system

Exercise example N°1423 :

Solve the following system:

`-x-2*y = 3`

`3*x = -2`

solving equations and inequations of the first degree equations of lines and linear systems equations 9th Grade 10th Grade solve_equations

The objective of this corrected math exercise is to solve a system of two equations with two unknowns.

Exercise example N°1441 :

1. Solve the system
   `2*x+2*y=30`
   `3*x+10*y=101`
To organize photos a store offers two types of storage albums or boxes : Tom buys 2 boxes and 2 albums and pays 30. Victoria buys 3 boxes and 10 albums and pays 101.
2. What is the price of a box?
3. What is the price of an album?

mathematics exams and competitions equations of lines and linear systems equations 9th Grade solve_equations

The purpose of this exercise is to use a system of two equations with two unknowns to solve a problem.

Exercise example N°1524 :

Find the ordinate of the direction vector of the line whose equation is `y=-7/10*x+6` which has abscissa 1

vectors equations equations of lines and linear systems 10th Grade fraction

The objective of this exercise is to determine the ordinate of a direction vector from a line equation.

Exercise example N°2411 :

Determine the equation of the linear function whose graphical representation passes through the point D of coordinates (`3/5`,`2`).

linear functions and affine functions equations of lines and linear systems equations 9th Grade equation_straight_line

The purpose of this exercise is to find the equation of a line representing a linear function that passes through a given point.

Exercise example N°2413 :

Determine the reduced equation of the line passing through the points A(3;5 )and B(2;4).

linear functions and affine functions equations of lines and linear systems equations 9th Grade 10th Grade equation_straight_line

The purpose of this exercise is to find the equation of a line from two points.