?x?y?1?x?2∴?,解得:?故选择C
2x?y?3y??1??
6.答案:C
?x?y?3?ax?by??9解析:∵方程组?和?的解相同,
ax?by?73x?y??7??∴??x?y?3?x??1 解得:?3x?y??7y?4????a?4b?7?a?1∴?解得:?,故选择C
?a?4b??9b?2??
7.答案:A
?5x?5y?10解析:由题意得:?,故选择A
4x?4y?2y?
8.答案:C
?x???3解析:由题意得:??x???5
9.答案:C
y?544,故选择C
y?424?x?2y?3?x?2.2解析:方程组?的解是?,
3x?4y?5y??0.4??∴?
10.答案:D
解析:设小王的行车时间为x分钟,小张的行车时间为y分钟,由题意得1.8×6+0.3x=
?a?2018?2.2?a??2015.8解得:?,故选择C
b?2019??0.4b?2018.6??
1.8×8.5+0.3y+0.8×(8.5-7),整理得0.3(x-y)=5.7, ∴x-y=19.即这两辆滴滴快车的行车时间相差19分钟.故选D. 二.填空题: 11.答案:8
?2x?3y?6解析:∵方程组?,∴5x?2y?8
?3x?y?2
12.答案:24
?a?1解析:∵?是关于a,b的二元一次方程ax+ay-b=7的一个解,
b??2?∴x?y?2?7,∴x?y?5, ∴?x?y??1?25?1?24
2
13.答案:525cm2
解析:设墙砖的宽为xcm,长为ycm, 由题意得:??3x?y?10?x?15,解得:?
2x?40?2yy?35??∴每块墙砖的截面面积是525cm2
14.答案:2或?1 2?x?y?1?m解析:∵二元一次方程组?中,m与方程组的解中的x或y相等,
x?3y?5?3m?∴??2x?y?1解得:x?2,∴m?2
?2x?3y??5?x?2y?111或?,解得:y??,∴m??,
22?x?6y?5∴答案为2或?
1 2
15.答案:?15
?ab??abc?35解析:∵??,∴?,
bc357????57∴a?37b,c?b, 559528b?9, 5∵3a?2b?4c?9,∴b?2b??a??3?∴?b??5,∴a?b?c??3?5?7??15 ?c??7?
5?m???216.答案:?
1?n???2??ax?by?7?x?2解析:∵方程组?的解为?,
bx?ay?8y?3??∴??2a?3b?7?a?2,解得:?
3a?2b?8b?1??5?m???2?m?n???m?n??7?m?n?2?2∴?解得:?解得:?
????1m?n?2m?n?8m?n?3???n???2?
三.解答题:
?x?1?x?117.(1)答案:?,(2)答案:?
y??3y?1??
18.解析:由题意得②+③得代入①得k=3.
?x?219.解析:把?代入方程3x-cy=-2,得6-4c=-2,解得c=2.
y?4?分别将??x?2?x?4?2a?4b?9和?代入ax+by=9中,得?, y?4y??14a?b?9????a?2.5解得?,即a=2.5,b=1,c=2.
b?1?
m?261?x???7x?9y?m?3420.解析:(1)解方程组?得:?是2x+y=-6的解,
m?2613x?y?29?0??y?3??29?34?∴2?m?261m?261m?261?3??29??6,∴5??35,解得:m?23 343434?x?2y?6m?3(2)∵方程组?的解互为相反数,
2x?y?2m?1??y?6m?3?y?6m?32m?1?6m?3??∴?,∴?,∴, 2m?1?3y?2m?1y??3??3?解得:m??
21. 解:设该水果店购进苹果x千克,购进提子y千克, 根据题意得:解得:
.
,
1 2答:该水果店购进苹果50千克,购进提子10千克.
22.解析:(1)设一个保温壶售价为x元,一个水杯售价为y元.
?x?y?60?x?50由题意,得:?解得:?
2x?3y?130y?10??