Solve the system of equations using any method.
9x - 16y = 713
19x - 10y = 887
2007-07-12 08:23:30 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Use substitution...
Solve for x in the first equation (it will have a y in it)... then plug in that for x in the second equation... you'll only have y's so you can solve for y!
Once you know y, you can go back to either equation and plug in for y to solve x.
2007-07-12 08:31:21 · answer #1 · answered by Cochy 6 · 1⤊ 0⤋
elimination by addition method
9x - 16y = 713- - - - - -Equation 1
19x - 19y = 887- - - - -Equation 2
- - - - - - - - - -
Multiply equation 1 by - 10 and equation 2 by 16
The reason for the multiplication is to set up the elimination of y.
9x - 16y = 713
- 10(9x) - ( - 10)(16y) = - 10(713)
-90x - (- 160y) = - 7130
- 90x + 160y = - 7130
- - - - - - - - -
19x - 10y = 887
16(19x) - 16(10y) = 16(887)
304x - 160y = 14192
- - - - - - - - - - - -
combining both equations after multiplication
Elimination of y
- 90x + 160y = - 7130
304x - 160y = 141922
- - - - - - - - - - - -
214x = 7062
214x / 214 = 7062 / 214
x = 7063 / 214
x = 33
Insert the x value into equation 1
- - - - - - - - - - -
9x - 16y = 713
9(33) - 16y = 7`13
297 - 16y = 713
Transpose 297
297 - 16y - 297 =713 - 297
- 16y = 416'
Divide both sides of the equation by - 16
- 16y / - 16 = 416 / - 16
y = - 416 / 16
y = - 26
Insert the y value into equation 1
- - - - - - - - -
Check for equation 1
9x - 16y = 713
9(33) - 16(- 26) = 713
297 - ( - 416) = 713
297 + 416 = 713
713 = 713
- - - - - - - - - -
Check for equation 2
19x - 10y = 887
19(33) - 10(- 26) = 887
627 - (- 260) = 887
627 + 260 = 887
887 = 887
- - - - - - - - -
Both equations balance
The solution set { 33, - 26 }
- - - - - - - -s-
2007-07-12 17:23:31 · answer #2 · answered by SAMUEL D 7 · 1⤊ 0⤋
x = 1/9*(713 +16y)
19x - 10y = 887
19*1/9*(713 + 16y) - 10y = 887
1505.2 + 33.8y - 10y = 887
23.8y = -618.2
y = -25.97
x = 1/9*(713 + 16*(-25.97)) = 33.05
2007-07-12 15:35:15 · answer #3 · answered by Anonymous · 0⤊ 0⤋
45x -80y = 3565
152x -80y = 7096
107x = 3531
x = 33
9*33 -16y = 713
-16y = 416
y= -26
2007-07-12 15:39:23 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
solve it as a linear equation or put it into a matrix and solve it.
2007-07-12 15:30:57 · answer #5 · answered by JBSF 2 · 0⤊ 0⤋