Fractions within Fractions
Pro Problems > Math > Algebra > Equations > Systems of EquationsFractions within Fractions
Find all ordered pairs (x,y) such that:
Solution
In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Similar Problems
P and Q
The sum of p and q is 44. q is two more than twice p. Find the ordered pair (p, q).
b Over X + Y
Three to Two

Three Numbers
The sum of three numbers is 78. If the first two numbers are doubled, the new sum is 128. Calculate the difference between the sum of the first two numbers and the third number
System of Equations with K
The following is a system of equations in x and y, with a constant K.
x + 2y = K
x - y = 2
If K is an integer between 20 and 25 inclusive, find all K such that the system has integer solutions.
Find X + Y + Z
If 2X + 3Y + 4Z = 100 and 5X + 7Y + 9Z = 242, find X + Y + Z.
System in a System
3x + 4y = 16
2x - 2y = 6
Also,
xm + yn = 28
ym + xn = 22
Find the ordered pair (m, n).
Ugly Fractional System
Find the ordered pair (m,n) which solves the following system of equations.
2(-System of Three Equations
Find the ordered triple (x, y, z) if x + y + z = 16; x - z = 10; and y + z = 9
P and Q
p is 12 more than a third of q, which is 12 less than half of p. Find the ordered pair (p, q)
Blogs on This Site
