Question

solve the following pair of linera equations by the substitution method 2x+3y=9 4x+2y=5

Answer 1

Answer:

$2x + 3y = 9 \: \: \: \: \: \: ...1 \\ 4x + 2y = 5 \: \: \: \: \: \: ...2 \\ multiplying \: equation \: 1 \: by \: 2 \\ 4x + 6y = 18 \: \: \: \: \: \: ...3 \\ now \: eq3 - eq2 \\ 4y = 13 \\ y = \frac{13}{4} \\ substituting \: the \: value \: of \: y \: in \: eq \: 2 \\ 4x + \frac{13}{2} = 5 \\ 4x = \frac{ - 3}{2} \\ x = - \frac{3}{8}$

your answer is (-3/8, 13/4)

hope it helps to you☺️