Solve the simultaneous equations:
3x-2y=19
2x+3y=4
Do i create a 3rd eq like this?
6x-4y=38 and where do i go from here?
No, take the two original equations, multiply the first by 3 and the second by 2.
9x-6y=114 check that.
4x+6y=8
now add the equations.
I dont know how to solve. please show me.
No, creating a third equation is not necessary to solve these simultaneous equations. You can solve these equations using the method of elimination or substitution.
Method of Elimination:
1. Multiply both sides of the first equation by 2 and the second equation by 3 to make the coefficients of 'y' the same.
6x - 4y = 38
6x + 9y = 12
2. Subtract the equations to eliminate 'x':
(6x - 4y) - (6x + 9y) = 38 - 12
-13y = 26
Divide both sides by -13:
y = -2
3. Substitute the value of 'y' back into one of the original equations to solve for 'x':
3x - 2(-2) = 19
3x + 4 = 19
3x = 15
Divide both sides by 3:
x = 5
Hence, the solution to the simultaneous equations is x = 5, y = -2.
Using the correct method, you can solve the simultaneous equations without needing to create a third equation.