Question

Solve the following system.of equations algebraic tally showing your work: 3x+2y=4, 4x+3y=7. Describe which method you used to solve the system. Explain why that method was better than the other methods.​

Answer 1

The value of x and y is "5, 2".

Explanation:

Solve the equation by substitution method:

`3x+2y= 4.....(i) \\4x+3y= 7....(ii)\\\\\ Subtract \ the \ equation \ (ii) \ from \ equation \ (i) \\\\ 4x+3y=7\\\\3x+2y=4\\\\- + - = -\\\\x +y = 3....(a) \\\\\\`

`x= 3-y \\\\\ put \ the \ value \ of \ x \ in \ equation (i)\\\\\ equation \\ 3x+ 2y=4\\\\3(3-y) + 2y=4\\\\9-3y+ 2y=4\\\\9-y= 4\\\\9-4= y\\\\5= y\\`

`\ put \ the \ value \ of \ y \ in \ equation \ (ii)\\\\ \ equation: \ \ 4x+3y= 7\\\\4x + 3(5) = 7\\\\4x+ 15 =7\\\\4x= 8\\\\x= (8)/(4)\\\\x= 2\\`