3x+4y=-2" (1)"3x+4y=−2 (1)
-2x-3y=1" (2)"−2x−3y=1 (2)
"expand both sides of equation (1) by 2;"expand both sides of equation (1) by 2;
6x+8y=-46x+8y=−4
"rearranging the equation :" 6x=-4-8y" "(3)rearranging the equation :6x=−4−8y (3)
"expand both sides of equation 2 by 3;"expand both sides of equation 2 by 3;
-6x-9y=3−6x−9y=3
"rearranging the equation :"6x=-9y-3" "(4)rearranging the equation :6x=−9y−3 (4)
"Both ;the left sides of equations (3) and (4) are equal" Both ;the left sides of equations (3) and (4) are equal
color(red)(6x)=-4-8y6x=−4−8y
color(red)(6x)=-9y-36x=−9y−3
"The right sides of equations can be written as equal"The right sides of equations can be written as equal
-4-8y=-9y-3−4−8y=−9y−3
9y-8y=-3+49y−8y=−3+4
y=1y=1
"now use (1) or (2)"now use (1) or (2)
3x+4*1=-23x+4⋅1=−2
3x+4=-23x+4=−2
3x=-63x=−6
x=-6/3x=−63
x=-2x=−2
