Реши задание на изображении

Ответы:

1. \(x=4\);
2. \(x=3\);
3. \(x=-\dfrac72=-3{,}5\);
4. \(y=3{,}9\);
5. \(y=-27\).

Решение

1. \[ 3(x-2)=x+2 \] \[ 3x-6=x+2 \] \[ 2x=8 \] \[ \boxed{x=4} \]

2. \[ 5-2(x-1)=4-x \] \[ 5-2x+2=4-x \] \[ 7-2x=4-x \] \[ \boxed{x=3} \]

3. \[ (7x+1)-(9x+3)=5 \] \[ 7x+1-9x-3=5 \] \[ -2x-2=5 \] \[ -2x=7 \] \[ \boxed{x=-3{,}5} \]

4. \[ 3{,}4+2y=7(y-2{,}3) \] \[ 3{,}4+2y=7y-16{,}1 \] \[ 19{,}5=5y \] \[ \boxed{y=3{,}9} \]

5. \[ 0{,}2(7-2y)=2{,}3-0{,}3(y-6) \] \[ 1{,}4-0{,}4y=2{,}3-0{,}3y+1{,}8 \] \[ 1{,}4-0{,}4y=4{,}1-0{,}3y \] \[ -0{,}1y=2{,}7 \] \[ \boxed{y=-27} \]