Question

Solve for X and Y in the system of equation

4/x+3y = 8
6/x - 4y = -5
a) x= -2 , y = 2
b) x= 2, y= -2
c) x = -2, y= -2
d) x= 2, y= 2

Answer 1

To solve the system of equations, we can use the method of elimination. Multiply the equations to eliminate the x terms and subtract the equations to eliminate the y terms. Solve for y and substitute the value back into either equation to solve for x. The solution is x = 5.41 and y = 2.42.

Step-by-step explanation:

To solve the system of equations

4/x + 3y = 8

6/x - 4y = -5

We can use the method of substitution or elimination. Let's use the method of elimination.

Multiply the first equation by 6 and the second equation by 4 to eliminate the x terms.

Then, subtract the equations to eliminate the y terms.

We get:

-24y = -58

Divide both sides by -24 to solve for y:

y = 58/24 = 2.42

Substitute this value back into either of the original equations to solve for x:

4/x + 3(2.42) = 8

4/x + 7.26 = 8

4/x = 0.74

Multiply both sides by x:

4 = 0.74x

Divide both sides by 0.74 to solve for x:

x = 4/0.74 = 5.41

Therefore, the solution to the system of equations is x = 5.41 and y = 2.42.