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CAN SOMEBODY PLEASE SOLVE THIS I REALLY REALLY NEED HELP?
Solve this system by elimination. Show your work.
8x + 5y = 22 6x + 2y = 13
Solve this system by substitution. Show your work.
2x - 3y = 12 x - 4y = 6
3 Answers
- Anonymous8 years agoFavorite Answer
Try googling "system of equations"
- ArgentLv 78 years ago
Solve this system by elimination.
8x + 5y = 22.
6x + 2y = 13.
Multiply the first equation by 3, giving
24x + 15y = 66.
Multiply the second equation by 4, giving
24x + 8y = 52.
Subtract the new #2 from the new #1:
24x + 15y = 66
-(24x + 8y = 52)
-----------------------
0x + 7y = 14, or
7y = 14, or
y = 2.
Put this into one of the original equations, to solve for x:
6x + 2(2) = 13, or
6x + 4 = 13, or
6x = 9, or
x = 9/6 = 3/2. The solution point is (3/2,2).
check:
8(3/2) + 5(2) = 24/2 + 10 = 12 + 10 = 22 ... yes.
6(3/2) + 2(2) = 18/2 + 4 = 9 + 4 = 13 ... yes.
= = = = = = = = = = = = = = =
Solve this system by substitution.
2x - 3y = 12.
x - 4y = 6.
Rearrange one of the equations so as to put one variable in terms of the other. It will be easier with #2.
Since x - 4y = 6, add 4y to both sides to get
x = 4y + 6.
Now this can be used in place of x in the first equation, to solve for y:
2(4y + 6) - 3y = 12, or
8y + 12 - 3y = 12, or
5y + 12 = 12, or
5y = 0, so
y = 0.
Put this into one of the original equations:
x - 4(0) = 6, or
x - 0 = 6, or
x = 6. The solution point is (6,0).
check:
2(6) - 3(0) = 12 - 0 = 12 ... yes.
6 - 4(0) = 6 - 0 = 6 ... yes.
- ?Lv 48 years ago
8x+5y=22
6x+2y=13
multiply first equation with 2 and second equation with 5
2(8x+5y)=2*22
5(6x+2y)=5*13
16x+10y=44
30x+10y=65
multiply first equation with -
-16x-10y=-44
30x+10y=65
add two equations
14x=21
x=21/14=3/2
x= 3/2
y=2
2)
2x-3y=12
x-4y=6
2x-3y=12
x=6+4y
substitute x in equation 1
2(6+4y)-3y=`12
12+8y-3y=12
5y=0
y=0
x=6