3x+4y=22
2x+5y=24
2007-12-30 03:56:26 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
3x+4y=22 <----- eq1
2x+5y=24 <----- eq2
multiply eq2 by 3 and eq1 by (-2) to get
-6x -8y = -44
and
6x +15y = 72
adding these equations we get
7y = 72-44 =28
y = 4
3x +4(4) =22
3x = 6
x =2
Answer:
x =2
y =4
2007-12-30 04:04:46 · answer #1 · answered by Anonymous · 1⤊ 0⤋
3x+4y=22
2x+5y=24
Multiply 1st equation by 2 and 2nd by -3 getting:
6x+8y =44
-6x -15y = -72
Add the above equatuins getting:
-7y = -28
y = 4
Substitute y = 2 in 1st equation getting:
3x +4(4) = 22
3x+16 = 22 --> 3x = 6 --> x = 2
2007-12-30 04:05:34 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
3x + 4y = 22 (equation 1)
2x + 5y = 24 (equation 2 )
multiply equation 1 by 5
multiply equation 2 by 4
(15x) + 20y = [110]
(8x) + 20y = [96]
subtract the numbers in the similar brackets
7x = 14
x=14/7
x=2
substitute x for 2 in equation 1 to get
6 + 4y = 22
4y = 22 - 6
y = 16\4
y = 4
hope I helped
2007-12-30 05:21:27 · answer #3 · answered by Mighty Mouse 2 · 0⤊ 0⤋
Subtract the 1st equation from the 2d to get 5p = 15, so p = 3; exchange that into the 1st equation : 2p + 5q = 40 six, and p = 3, so 6 + 5q = fifty six, 5q = 40, q = 8 - now examine those values interior the 2d equation.. do precisely the comparable interior the 2d pair of equations. For the third one, think we use £m to stand for the cost of a million mug and £p to stand for the cost of a million plate : then we get 2 equations: 9m + 3p = 40 two, and 7m + 3p = 36. Now do precisely the comparable with this pair.
2016-11-26 20:45:37 · answer #4 · answered by ? 4 · 0⤊ 0⤋
6x+8y=44
6x+15y=72
- - - - - - -- -
. . . -7y = - 28
or y = 4
so
From (1)
3x + 16 = 22
or 3x = 6 or x =2
2007-12-30 04:09:50 · answer #5 · answered by Snoopy 3 · 0⤊ 0⤋