Question

find the solution of equation3x+2y=4 and 5x-4y=3

Answer 1

Any attempt ?

Answer 2

3x+2y=4---------(1
5x-4y=3---------(2
Multiplying eq. (1 by 2 and then adding it with eq(2, we find
6x+4y=8---------(1
5x-4y=3---------(2
----------------------
11x = 11
hence x= 11/11
i.e. x= 1
substituting x=1 in eq(1 we find
3*1+2y=4
3+2y =4
2y =4-3
2y =1
i.e. y= 1/2 =0.5
Hence (x, y) =( 1, 1/2) are the required solutions of the given system of equations
@marey65

Answer 3

thanks I have the same answer you are correct

Answer 4

5x - 4y = 3
5x = 4y + 3

x = (4/5)y + (3/5)
3x = (12/5)y + (9/5)

Now that we know what 3x is in terms of y, we can put it into the equation 3x + 2y = 4. Then simplify.

(12/5)y + (9/5) + 2y = 4

2.4y + 1.8 + 2y = 4
4.4y + 1.8 = 4
4.4y = 2.2
y = .5 (1/2)

Now put the y value into the equations to get x.

3x + 2(.5) = 4
3x + 1 = 4
3x = 3
x = 1

5x - 4(.5) = 3
5x - 2 = 3
5x = 5
x = 1


So your answer is: x = 1, y = .5