# R P

#### PDP̉@

𓚂\ɂꍇ́Ã{^ĂB

(1) ̐ʂ̊֌W𓙎ŕ\܂傤B
(1) Q{ɂRƂXɂȂB
(2) R{ƂS{͓B
(3) S{Q{ЂƂUɂȂB
(4) ɂTPЂ́AQłƓB

(1)$2x+3=9$
(2)$3a=4b$
(3)$4x-2y=6$
(4)$5x-1=\dfrac {y} {2}$

(2) ̐ʂ̊֌W𓙎ŕ\܂傤B
(1) `̏~Aȁ~Ƃ܂B
Ql̏̍v͂TOOO~łB
(2) łPԐi񂾓̂ƁAłQԐi񂾓̂肪B
(3) 艿~̏iRłTƂAPVTO~B
(4) ̏d肪TȀd肪R܂B̏d̕ς̏dłB

(1)$x+y=5000$
(2)$x=2y$
(3)$x\times \left( 1-\dfrac {3} {10} \right)\times 5=1750$
Ȃ킿A$\dfrac {7} {2} x=1750$
(4)$\dfrac {5x+3y} {8} =z$

(3) ̕܂傤B
(1)$x-2=3$
(2)$6+x=-3$
(3)$x+7=0$
(4)$2x=10$
(5)$-7x=42$
(6)$\dfrac {x} {3} =\dfrac {1} {4}$

(1)$x=5$
(2)$x=-9$
(3)$x=-7$
(4)$x=5$
(5)$x=-6$
(6)$x=\dfrac {3} {4}$

(4) ̕܂傤B
(1)$2x+5=11$
(2)$6x+11=-13$
(3)$4-3x=-8$
(4)$5x-12=2x$
(5)$4x-5=2x-3$
(6)$3x+8=5x-8$

(1)$2x+5=11$
$2x=11-5$
$2x=6$
$x=3$

(2)$6x+11=-13$
$6x=-13-11$
$6x=-24$
$x=-4$

(3)$4-3x=-8$
$-3x=-8-4$
$-3x=-12$
$x=4$

(4)$5x-12=2x$
$5x-2x=12$
$3x=12$
$x=4$

(5)$4x-5=2x-3$
$4x-2x=-3+5$
$2x=2$
$x=1$

(6)$3x+8=5x-8$
$3x-5x=-8-8$
$-2x=-16$
$x=8$

(5) ̕܂傤B
(1)$x-3=-2\left( x-3 \right)$
(2)$5\left( x-4 \right)=x-4$
(3)$3\left( x-1 \right)=5\left( x-1 \right)+6$
(4)$3\left( -4x-3 \right)-5=6\left( -3x+1 \right)+x$

(1)$x-3=-2\left( x-3 \right)$
$x-3=-2x+6$
$x+2x=6+3$
$3x=9$
$x=3$

(2)$5\left( x-4 \right)=x-4$
$5x-20=x-4$
$5x-x=-4+20$
$4x=16$
$x=4$

(3)$3\left( x-1 \right)=5\left( x-1 \right)+6$
$3x-3=5x-5+6$
$3x-5x=-5+6+3$
$-2x=4$
$x=-2$

(4)$3\left( -4x-3 \right)-5=6\left( -3x+1 \right)+x$
$-12x-9-5=-18x+6+x$
$-12x+18x-x=6+9+5$
$5x=20$
$x=4$

(6) ̕܂傤B
(1)$\dfrac {1} {2} x-4=-\dfrac {1} {6} x$
(2)$\dfrac {5x+2} {3} =3x-2$
(3)$\dfrac {3x+2} {4} +\dfrac {2x-5} {6} =-1$
(4)$\dfrac {3x} {5} =\dfrac {5x} {2} -2$

(1)$\dfrac {1} {2} x-4=-\dfrac {1} {6} x$
$6\left( \dfrac {1} {2} x-4 \right) =6\left( -\dfrac {1} {6} x \right)$
$3x-24=-x$
$3x+x=24$
$4x=24$
$x=6$

(2)$\dfrac {5x+2} {3} =3x-2$
$3\left( \dfrac {5x+2} {3} \right) =3\left( 3x-2 \right)$
$5x+2=9x-6$
$5x-9x=-6-2$
$-4x=-8$
$x=2$

(3)$\dfrac {3x+2} {4} +\dfrac {2x-5} {6} =-1$
$12\left( \dfrac {3x+2} {4} +\dfrac {2x-5} {6} \right) =-12$
$3\left( 3x+2 \right) +2\left( 2x-5 \right)=-12$
$9x+6+4x-10=-12$
$9x+4x=-12-6+10$
$13x=-8$
$x=-\dfrac {8} {13}$

(4)$\dfrac {3x} {5} =\dfrac {5x} {2} -2$
$10\left( \dfrac {3x} {5} \right)=10\left( \dfrac {5x} {2} -2 \right)$
$6x=25x-20$
$6x-25x=-20$
$-19x=-20$
$x=\dfrac {20} {19}$

(7) ̕܂傤B
(1)$1.3x-2.8=0.6x$
(2)$0.6x+2.4=0.4x+3.6$
(3)$0.42x-4.7=-1.28x+0.4$
(4)$0.6\left( x+3 \right)=-x-1.4$

(1)$1.3x-2.8=0.6x$
ӂ10
$13x-28=6x$
$13x-6x=28$
$7x=28$
$x=4$

(2)$0.6x+2.4=0.4x+3.6$
ӂ10
$6x+24=4x+36$
$6x-4x=36-24$
$2x=12$
$x=6$

(3)$0.42x-4.7=-1.28x+0.4$
ӂ100
$42x-470=-128x+40$
$42x+128x=40+470$
$170x=510$
$x=3$

(4)$0.6\left( x+3 \right)=-x-1.4$
ӂ10
$6\left( x+3 \right)=-10x-14$
$6x+18=-10x-14$
$6x+10x=-14-18$
$16x=-32$
$x=-2$