Question

Which of the systems of equations below is equivalent to the system shown?

Answer 1

Answer:

$D.....is\: the \: equivalent \: system$

Step-by-step explanation:

$if \to 4x + 5y = 3 \\ if \to 2x + 3y = 1 \\then \\ 2 \times \: 4x + 5y = 3 \\ 4 \times 2x + 3y = 1 \\ 10y - 12y = 6 - 4 \\ - 2y = 2 \\ \boxed{ y = - 1} \\ 4x + 5y = 3 \\ 4x +5( - 1) = 3 \\ 4x - 5 = 3 \\ 4x = 3 + 5 \\ 4x = 8 \\ \boxed{x = 2} \\ hence \: the \: equivalent \: system \: is \to D$