HPT quy về hpt bậc nhất hai ẩn
1)2x − 11y = −7
10x + 11y = 31
3) 3(x + 1) − 2(y − 1) = 4
4(x − 2) + 3(y + 1) = 5
5) x(y + 2) − y(x + 1) = 3
2x(y + 1) − y(2x + 3) = 1
7) 5(x + 2y) − 3(x − y) = 99
x − 3y = 7x − 4y − 17
HPT chứa ẩn ở mẫu
10)
1
x
+
1
y
= 3
3
x
−
2
y
= −1
11) {
x +
1
y
=
−1
2
2x −
3
y
=
−7
2
12) {
x
x+1
−
y
y−1
= 3
x
x+1
+
3y
y−1
= −1
13) {
x+2
x+1
+
2
y−2
= 6
5
x+1
−
1
y−2
= 3
14) {
1
2x+y
+
1
x−2y
=
5
8
1
2x+y
−
1
x−2y
=
−3
8
2) {
3x − 2y = 11
4x − 5y = 3
4) {
x + 4y = 6
4x + 16y = 5
6) {
3(x + 1) + 2(x + 2y) = 4
4(x + 1) − (x + 2y) = 9
8 ) {
x(2y − 1) − y(2x + 1) = −4
x(3y + 1) + y(−3x + 2) = 5
9) {
(3x + 2)(2y − 3) = 6xy
(4x + 5)(y − 5) = 4xy
HPT chứa căn bậc hai
15) {
3√x + 2√y = 16
2√x − 3√y = −11
16) {
√x + 3 − 2√y + 1 = 2
2√x + 3 + √y + 1 = 4
17) {
7
√x−7
−
4
√y+6
=
5
3
5
√x−7
+
3
√y+6
= 2
1
6
HPT chứa dấu giá trị tuyệt đối
18) {
2|x + 1| − 5y = 3
|x + 1| + 2y = −3
19) {
|x + 2| + 4√y − 1 = 5
3|x + 2| − 2√y − 1 = 1
20) {
|x − 1| +
2
y
= 2
4
y
− |x − 1| = 1
