答案是15.先把两条方程连立,分别用m来表示x,y.算到x=2m,y=2m.再把x,y带进第三个方程.就解出来了!
2乘以2x+y=6m 等于4x+2y=12m......①
3x-2y=2m...... ②
① +②=7x=14m
x=2m,y=2m
再把x=2m,y=2m代入x/3-y/5=4
10m-6m=60
m=15
够详细吧
: {2x+y=6m(1)
{3x-4y=2m(2)
由(1)+(2)得:5x-3y=8m(3)
(3)两边都除以15,得:
x/3-y/5= 8m /15
又因为 x/3-y/5=4
∴ 8m /15 =4
∴ m=15/2
:{2x+y=6m(1)
{
{3x-4y=2m(2)
由(1)×4得:8x+4y=24m(3)
(3)+(2)得:
11x=26m
x=26m/11(4)
将(4)代入(1)得:
2×(26m/2)+y=6m
y=6m-(52m/11)
∴ 解为:{ x=26m/11
{
{y=6m-(52m/11)
代入x/3-y/5=4,得
(26m/11)-{6m-(52m/11)}/5=4
(130m-14m)/55=4
116/55m=4
m=4×(55/116)
m=55/29
(1)x4+(2), 得11x=26m,x=26m/11, (1)x3-(2)x2,得 11y=14m, y=14m/11, 代入第三个方程得
( 26m/11)x(1/3)—(14m/11)x(1/5)=4, 去分母得,130m-42m=660, m=15/2