Verified Answer :

  1. y=7-3x
    4x+2(7-3x)=16
    4x+14-6x=16
    -2x=2
    x=-1
    -3+y=7
    y=10
    (-1,10)

    2. x=2y
    2(2y)+2y=4
    4y+2y=4
    6y=4
    y=2/3
    x-2(2/3)=0
    x-4/3=0
    x=4/3
    (4/3,2/3)

\(1.)\\ \\\begin{cases}3x + y = 7 /*(-2)\\ 4x + 2y = 16 \end{cases} \\ \\\begin{cases}-6x-2y =-14 \\ 4x + 2y = 16 \end{cases}\\-------\\-2x=2/:(-2)\\ \\x=-2\)

\(3*(-1) + y = 7\\ \\-3+y=7\\ \\y=7+3\\ \\y=10\\ \\\begin{cases}x=-1\\ y=10 \end{cases}\)



\(2.)\\ \\\begin{cases}2x + 2y = 4 \\x - 2y = 0 \end{cases} \\-------- \\ 3x=4/:3\\ \\x=\frac{4}{3}\\ \\2*\frac{4}{3}+ 2y = 4 \\ \\\)

\(2y=\frac{12}{3}-\frac{8}{3}\\ \\2y=\frac{4}{3}/*(\frac{1}{2})\\ \\y=\frac{2}{3}\\ \\\begin{cases}x=\frac{4}{3} \\y=\frac{2}{3}\end{cases}\)