消元——解二元一次方程组同步练习
一、单选题
?x?y?4?1.方程组?1的解是( )
x?y??1??2A.??x?2
?y?2B.??x?3 ?y?1C.??x??2
?y?2D.??x?3
?y??1?x?2y?5k?1yx2.若关于,的二元一次方程组?的解满足x?y?7,则k的值是
x?y?2k?5?( ) A.1
B.2
C.3
D.4
?2x?3y?4?x??1?2(a?b)?3(a?b)?43.若方程组?的解是?,则方程组?的解是
5x?3y?1y??25(a?b)?3(a?b)?1???( )
3?a????2A.?
1?b???2?3?a???2C.?
?b??1?2?3?a????2B.?
1?b??2?1?a???2D.?
?b??3?2??x?2y?84.若?,则y?x的值是( )
?2x?y?7A.-1 5.若方程组?A.2018
B.0
C.1
D.2
?3x?y?4k?5的解中x?y?2019,则k等于( )
2x?6y?k?B.2019
C.2020
D.2021
?2x?y?46.方程组?的解为( )
x?y??1?A.??x?1 y?2?B.??x??1 y?2?C.??x??1
y??2?D.??x?1
y??2?1
?2x?y?57.方程组?,消去y后得到的方程是( )
3x?2y?8?A.3x-4x-10=0
B.3x-4x+5=8
C.3x-2(5-2x)=8 D.3x-4x+10=8
??2a?3b?13?a?8.3?2?x?2??3?y?1??138.若方程组?的解是?则方程组?的解是
3x?2?5y?1?303a?5b?30b?1.2????????( ) A.??x?8.3
?y?1.2B.??x?10.3
y?1.2?C.??x?6.3
y?2.2?D.??x?10.3
y?0.2??3x?7y?99.方程组:?的解是( )
4x?7y?5??x??2A.?
?y?1?x??2?B.?3
y??7??x?2?C.?3
y???7??x?2?D.?3
y??7??x?4?ax?by?510.若?是方程?的解,则a?b等于( )
y?3bx?ay?2??A.4
二、填空题
B.3.5
C.2
D.1
?x?y?10,①11.解方程组?时,为了消去x,可以将方程________变形为________.
x?2y?4.②?12.已如??x?2?ax?by?12是方程?的解,则(a+b)(a﹣b)的值为____. y?1bx?ay?3???x?2y?013.方程组?的解为______.
3x?4y?6?14.方程组??x?y?8的解是______.
?2x?y?7201915.已知2x?4?x?2y?8?0,则?x?y??_____________.
?x?2y?1yx16.若关于、的二元一次方程组?,则x?y的算术平方根为_________.
3x?2y?11?17.将方程5x+2y=11变形为用含x的式子表示y,________.
三、解答题 18.解方程组:??x?2y?3①2y?1②
?3x?
19.解方程组 (1)??x?y?12x?y?8
?
?xy?(2)???1?1?23 ?3x?2y?10
20.解方程(组) (1)3x?12?1?x?13
(2)??2m?n?3
?m?2n??13