two questions:
x over x - 9 = 4 over 7
x + y over x - y = 5 over 3 .
that is one question, find x and y, show all steps please...
the 2nd one.
x - 3 over 4 = y +2 over 2
x +y-1 over 6 = x - y + 1 over 5.
show all steps thanks
x/(x - 9) = 4/7
(x + y)/(x - y) = 5/3
I'm assuming you're trying to solve this system of equations.
x = 4/7*(x-9)
7x = 4*(x - 9)
7x = 4x - 36
36 = -3x
x = -12 -- (1)
(x + y)/(x - y) = 5/3
x + y = 5/3*(x - y)
x + y = 5/3x - 5/3y
y = (2x)/3 - (5y)/3
3y = 2x - 5y
8y = 2x
y = x/4
But, from (1), we can substitute x in for y;
y = (-12)/4
y = -3
Thus, we have (-12, -3)
(x - 3)/4 = (y + 2)/2
Multiply both sides by 4;
x - 3 = 2*(y + 2)
x - 3 = 2y + 4
x = 2y + 7 -- (1)
(x + y - 1)/6 = (x - y + 1)/5
Multiply both sides by 30;
5*(x + y - 1) = 6*(x - y +1)
5x + 5y - 5 = 6x - 6y + 6
5y = x - 6y + 11
11y = x + 11
y = (x + 11)/11
Substitute:
y = ([2y + 7] + 11)/11
11y = 2y + 7 + 11
11y = 2y + 18
9y = 18
y = 2
And thus,
x = 2(2) + 7
x = 11
The final answer: (11, 2)