2x-5y=14
3x+2y=40
what is the solve of xy ?
In English, do you mean how do you solve for x and y?
multipy the top equation by 2, and the bottom equation by 5
4x-10y=28
15x+10y=200
then add the equations...
19x+0y=228
divide each side by 19
x=228/19=12
Now go back to either of the original equations, but 12 in for x, and solve for y.
To solve for the values of x and y, we can use the method of substitution or elimination. Let's use the method of substitution in this case.
First, let's solve one of the equations for one variable in terms of the other. Let's solve the first equation for x:
2x - 5y = 14
Rearranging the equation, we get:
2x = 5y + 14
Dividing both sides by 2:
x = (5y + 14)/2
Now, substitute this expression for x into the second equation and solve for y:
3x + 2y = 40
Substituting x:
3((5y + 14)/2) + 2y = 40
Expanding and simplifying:
(15y + 42)/2 + 2y = 40
15y + 42 + 4y = 80
19y + 42 = 80
19y = 80 - 42
19y = 38
y = 38 / 19
y = 2
Now that we have the value of y, substitute it back into one of the equations to solve for x. Let's use the first equation:
2x - 5y = 14
Substituting the values:
2x - 5(2) = 14
2x - 10 = 14
2x = 14 + 10
2x = 24
x = 24 / 2
x = 12
Therefore, the solution is x = 12 and y = 2.