the ordered pair (-7,8) is a solution of the following system of equtions:
-8x -3y =32
5x+6y=13
2007-02-25 02:53:26 · 5 answers · asked by chickiejam 1 in Science & Mathematics ➔ Mathematics
True
-8x - 3y = 32- - - - - - Equation 1
5x + 6y = 13- - - - - - Equation 2
- - - - - - - - -
Multiply equation 1 by 2
- 8 - 3y = 32
- 2(8x) - 2(3y) = 2(32)
- 16x - 6y = 64
- - - - - - - - - - - - -
- 16x - 6y = 64
5x + 6y = 13
- - - - - - - - - - -
- 11x = 77
- 11x/- 11 = 77 / - 11
x = 77/ - 11
x = - 7
The answer is x = - 7
Insert the x value into equation 2
- - - - - - - - - - - - - - - - - - - - - -
5x + 6y = 13
5(- 7) + 6y = 13
- 35 + 6y = 13
- 35 + 6y + 35 = 13 + 35
6y = 48
6y/6 = 48/6
y = 48/6
y = 8
The answer is y = 8
Insert the y value into equation 2
- - - - - - - - - - - - - - - - - - - - - -
Check for equation 2
5x + 6y = 13
5(- 7) + 6(8) = 13
- 35 + 48 = 13
13 = 13
- - - - - - -
Check for equation 1
- 8x - 3y = 32
- 8(- 7) - 3(8) = 32
- (- 56) - 24 = 32
56 - 24 = 32
32 = 32
- - - - - - -
The solution set is { - 7, 8 }
- - - - - - - - - s-
2007-02-25 03:54:56 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
True,
56-24=32 --- Yes
-35+48=13 --- Yes
2007-02-25 10:59:31 · answer #2 · answered by Richard A 2 · 0⤊ 0⤋
True.
(-8)*(-7) - 3*8 = 56-24=32
5*(-7) + 6*8 = -35 + 48 =13 .
2007-02-25 11:01:55 · answer #3 · answered by kyq 2 · 0⤊ 0⤋
True
2007-02-25 11:11:17 · answer #4 · answered by KRISHNA N 1 · 0⤊ 0⤋
1) true
2)true
2007-02-25 13:11:36 · answer #5 · answered by dancin' chick 2 · 0⤊ 0⤋