Question

solve the following simultaneous equation:-1)4x+3y=18;3x-2y=5​

Answer 1

4x + 3y = 18 and 3x -2y = 5
Sol: x = 3 & y = 2
Step-by-step explanation:
4x + 3y = 18 - eq 1
3x -2y = 5 - eq 2
Multiplying Eq 1 by 2 & eq 2 by 3
8x + 6y = 36
9x - 6y = 15
Elimination y by Adding both
17x = 51
x = 3
now substituting value of x into Eq 1
4*3 + 3y = 18
=> 3y = 6
=> y = 2

Answer 2

Solving by elimination method

Considering y
LCM is 6

So multiply equation 1 by 2 and equation 2 by 3

8x + 6y = 36
9x - 6y = 15

Since signs are opposite we will add

17x = 51
x = 3

Therefore,
4(3) + 3y = 18
3y = 6
y = 2