Learn Class 9 Math - Linear Equations in Two Variables

The linear equations are always presented in the form.

Such a form consists of the variables, i.e., ax + by + c = 0. The linear equations are always presented in the straight-line form. In the ax + by + c = 0, a, b, & c are the form of real numbers. And in it, a & b will never equal zero.

In comparison, x & y are the forms of two variables, and c is always present in the same form.

Linear equations

When we see the two sets of linear equations together, they are always considered a pair of linear equations. And both sets of equation x & y variables are different from each other.

Solving methods of the equation

  • Substitution method.
  • Elimination method.
  • Cross multiplication method

Solutions of linear equations

  • When we see the linear equation in one variable, there is always one solution.
  • And in the linear equation of two variables, there are infinite types of solutions.
  • Many linear equations are there that consist of the solution (0,0).
  • The (0,0) solution equations are the equation that will normally pass with the origin.
  • Two-axis are presented on the graph, i.e., x and y.

Learning Videos for 9th Grade Math - Linear Equations in Two Variables

Linear Equations in Two Variables Sample Questions for Class 9

Question 1

Colton works for an athletics store. He earns a weekly salary of $450 plus a commission of 5.6% on his weekly sales. Write a linear equation for Colton's weekly wage W if he had s dollars in sales.
A. W=450+5.6s
B. W=(450+0.056)s
C. W=450s+5.6
D. W=450+0.056s

Question 2

How many ordered pair solutions to the linear equation are represented in the graph given? (The axes and line extend without end in both directions.) Choose all correct answers.
A. One
B. None
C. Infinite
D. All

Question 3

Which linear equation is in standard form?
A. (y - 4) = 2(x + 6)
B. x = 2y - 6
C. 2x + 3y = 10
D. y = 2x - 6

Question 4

Choose the correct standard form of the linear equation y = 3/2 x + 4.
A. 3/2 x + y = 4
B. 3 x - 2y + 4 = 0
C. 3x = 2y - 8
D. 3x-2y=-8

Question 5

True or False: This is a linear equation: y+x=1/2.
A. True
B. False