SOLUTION: CAN YOU PLEASE HELP ME SOLVE THESE EQUATIONS? 3X+2Y=17, 84-18X=10X, 4(x+8)=6x-2 AND 4(7+5) _____ 2+1 THANKS IN ADVANCE!

Algebra ->  Equations -> SOLUTION: CAN YOU PLEASE HELP ME SOLVE THESE EQUATIONS? 3X+2Y=17, 84-18X=10X, 4(x+8)=6x-2 AND 4(7+5) _____ 2+1 THANKS IN ADVANCE!      Log On


   



Question 71004: CAN YOU PLEASE HELP ME SOLVE THESE EQUATIONS? 3X+2Y=17, 84-18X=10X, 4(x+8)=6x-2 AND 4(7+5)
_____
2+1 THANKS IN ADVANCE!

Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
3X+2Y=17;
For this equation, you choose a number for x and solve the equation for y;
lets start with making x=1;
3(1)+2y=17
3+2y=17
Now subtract 3 from both sides;
2y=17-3
2y = 14
Divide each side by 2;
2y%2F2=14%2F2
y=7
Now plug in 7 for y in the equation;
3x+2(7)=17
3x+14=17
subtract 14 from both sides;
3x=17-14
3x=3
Divide each side by 3;
3x%2F3=3%2F3
x=1
so you have;
x=1 and y=7
84-18X=10X;
first add 18x to both sides;
84-18x+18x=10x+18x
84=28x
divide each side by 28;
84%2F28=28x%2F28
x=3
4(x+8)=6x-2
distribute the 4;
4x+32=6x-2
subtract 4x from both sides;
32=6x-2-4x
32=2x-2
add 2 to both sides;
32+2=2x
34=2x
divide 2 from both sides;
34%2F2=2x%2F2
17=x
4%287%2B5%29%2F%282%2B1%29
distribute the 4;
%2828%2B20%29%2F%282%2B1%29
48%2F3
16
:)