Solve the simultaneous equation.

To solve the simultaneous equation, we need to find the values of x and y that satisfy both equations.

Equation 1: 2x + 3y = 11
Equation 2: 3x - 2y = 4

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method:

Multiply Equation 1 by 2 and Equation 2 by 3 to make the coefficients of x the same:

Equation 1: 4x + 6y = 22
Equation 2: 9x - 6y = 12

Now, add the two equations together to eliminate y:

4x + 6y + 9x - 6y = 22 + 12
13x = 34
x = 34/13
x = 2.615

Now, substitute the value of x back into Equation 1 to solve for y:

2(2.615) + 3y = 11
5.23 + 3y = 11
3y = 5.77
y = 5.77/3
y = 1.923

Therefore, the solution to the simultaneous equations is x = 2.615 and y = 1.923.

$$x + y = 5$$

$$x - y = 1$$

Solution

Add the equations together,

$$2x = 6$$

$$\Rightarrow x = 3$$

Substitute x = 3 into the first equation,

$$3 + y = 5$$

$$\Rightarrow y = 2$$

Therefore, the solution to the simultaneous equation is (3, 2).

Ans: 1) x=-1, y=-5;  2) x=5, y=1