Algebra questions

Question

Solve the system using a matrix equation.

Explain each step.

5x – 4y = 4

3x – 2y = 3

Answer 1

1) 5x -4y = 4

2) 3x -2y = 3

solve eqn2 for 2y, 3) 2y = 3x - 3

substitute 2y from eqn3 into eqn1 and solve for x

5x -2(3x -3) = 4

5x -6x + 6 = 4

x = 2

solve eqn3 for y

2y = 3(2) -3 = 3

y = 1.5

{2,1.5}