How to solve the equation x 3 y 4 1 x 2 y 3 2

Multiply both sides of the first equation by 12 at the same time to get 4x-3y=12, and multiply both sides of the second equation by 6 at the same time to get 3x+2y=12, and then solve the system of equations.

Multiply both sides of the second equation at the same time to get.

Add it to the first equation to get it.

x=30. y=12/17

x/3-y/4=1 ①

x/2+y/3=2 ②

12→ 4x-3y=12;③

6 → 3x+2y=12;④

obtained: x=5y; ⑤

Substituting gets: 3 5y+2y=12 y=12 17;

Substitute y=12 17 into :

x=5y=60/17;

x=60/17; y=12/17.

x/3-y/4=1

x/2+y/3=2

4x-3y=12 (1)

3x+2y=12 (2)

1)-(2) De:

x-5y=0

x=5y (3)

3) Substitution (1) gets:

20y-3y=12

17y=12

y=12/17

Solve the system of equations to obtain:

x=60/17

y=12/17

x^2+y^2=4 (1)

y=x-1 (2)

Replace Eq. (2) with Eq. (1).

x^2+y^2=4

x^2+(x-1)^2=4

Simplify. 2x^2-2x-3=0

x=(1+ 7) 2 or (1- 7) 2when x=(1+ 7) 2, y=(-1+ 7) 2when x=(1- 7) 2, y=(-1- 7) 2. (x,y)=(1+√7)/2，(-1+√7)/2) or ((1-√7)/2，(-1-√7)/2)

2(x-y)/3

x+y/4=-1

1)6(x+y)-4(2x-y)=16

2) Solution: 1) Multiply both sides of the equation by 12.

8(x-y)-3(x+y)=-12

Mergers of the same kind.

5x-11y+12=0

3) (2) Consolidation of similar items.

10y-2x-16=0

4) (3) * 2 + (4) * 5.

28y-56=0

So y=2 substituting y=2 into (1) gives x=2

1-3/4x

Move 3 4x to the right and 5 8 to the left, i.e.

3 4x because 1 = 8 8

So 1-5 8

So 3 4x

If x is on the denominator, then the denominator numerators on both sides are cross-multiplied to get: 12x=24, so x=2 If x is on the numerator, then the denominator numerators on both sides are cross-multiplied to get: 24x=12, so x=12 24=1 2

1-3/4 x=5/8

Solution: Subtract 1 from both sides of the equation to get.

1-1-3/4 x=5/8-1

3/4 x=-3/8

coefficient to 1, obtained.

x=1/2

2(x-4)+3(y+1)=16 to get 2x+3y=21 14(x-4)-7(y-1)=7 to get 4x-7y=16 21 x2-2 to get 13y=26 to get y=2

Substituting y=2 into 1, there is 2x+3x2=21, and the solution is x=15 2

The fractional equation is first multiplied by the least common multiple of the denominator on both sides, and then it is easy to solve the whole equation.

Formula 1: 2y-6x=17

Formula 2: 2x-y=3x+y 6 and then 12x-6y=18x+y is 6x+5y=0

Add to equation 1: 7y=17, y=17 7

x=-17/7*5/6=-85/42

Is the topic wrong, so troublesome.

3x-y+2=0, then y=3x+2. Bring in the second equation.

x 2 Heng Sui 16 + y 2 Hu Bao Qin 4 = 1 becomes.

x^2/16+(3x+2)^2/4=1

Multiply both sides of the equation by 16 at the same time to become a year.

x^2+4(3x+2)^2=16

Solution. x=0

y=2x=-48/37

y=-70/37