Question

Simultaneous equations:

1) 3x + 2y = 23
2x - y = 6

2) 3x - 3y = 9
2x + y = 12

3) 4x + 2y = 34
3x + y = 21

(if you could answer with workings out that would be great)​

Answer 1

The question involves solving three sets of simultaneous linear equations. Methods such as substitution and elimination are employed to find the values of x and y that satisfy both equations in each set.

Step-by-step explanation:

The student is asking for help solving simultaneous equations, which are a set of two or more linear equations containing two or more variables. The solutions to these equations are the values of the variables that make all equations true at the same time. Here, we have three pairs of simultaneous equations to solve.

1. For the first set, 3x + 2y = 23 and 2x - y = 6, you would first solve one of the equations for one variable and then substitute that into the other equation to find the remaining variable's value.
2. The second set, 3x - 3y = 9 and 2x + y = 12, can be approached by using either the substitution method or the elimination method, which involves adding or subtracting the equations to eliminate one variable.
3. For the third set, 4x + 2y = 34 and 3x + y = 21, similar methods can be used, and you might want to multiply the second equation by 2 before subtraction to eliminate y, for example.

All these methods will lead you to the intersection point of the two lines represented by the equations, giving you the values for x and y that solve both equations simultaneously.

Answer 2

1)x=5 y=4

2)y=2 x=5

3)y=12 x=3

Step-by-step explanation:

hope that helps!