Write As A Linear Equation

Linear System - Write As A Linear Equation

Lesson 1

Problem: Write the system of linear equations represented by each matrix equation.

6	9	X		81
			=
6	5	Y		44

Step 1:

Multiply the first row of the first matrix with the column of the second matrix and equate it to the first element of the last matrix to obtain the first equation.

Step 2:

Similarly multiply the second row of the first matrix with the column of the second matrix and equate it to the second element of the last matrix to obtain the second equation.

Step 3:

6x + 9y = 81

6x + 5y = 44

Try two practice problems:

Write the system of linear equations represented by each matrix equation.