Problem
Solve for x from the following equations:
| $xy = 12$ | $yz = 20$ | $zx = 15$ |
| A. 2 | C. 4 |
| B. 3 | D. 5 |
Problem
Given the following equations:
$$ab = 1/8 \qquad ac = 3 \qquad bc = 6$$
Find the value of $a + b + c$.
| A. $12$ | C. $\dfrac{4}{51}$ |
| B. $\dfrac{7}{16}$ | D. $12.75$ |
Problem
Solve for x, y, and z from the following simultaneous equations.
$x^2 - yz = 3$ ← Equation (1)
$y^2 - xz = 4$ ← Equation (2)
$z^2 - xy = 5$ ← Equation (3)
Problem
In an organization there are CE’s, EE’s and ME’s. The sum of their ages is 2160; the average age is 36; the average age of CE’s and EE’s is 39; the average age of EE’s and ME’s is 32 and 8/11; the average age of the CE’s and ME’s is 36 and 2/3. If each CE had been 1 year older, each EE 6 years and each ME 7 years older, their average age would have been greater by 5 years. Find the number of CE, EE, and ME in the group and their average ages.
Problem
Solve for $x$ and $y$ from the given system of equations.
$\dfrac{3}{x^2} - \dfrac{4}{y^2} = 2$ ← Equation (1)
$\dfrac{5}{x^2} - \dfrac{3}{y^2} = \dfrac{17}{4}$ ← Equation (2)
Problem
Solve for $x$ and $y$ from the given system of equations.
$x^2y + y = 17$ ← Equation (1)
$x^4y^2 + y^2 = 257$ ← Equation (2)
Problem
Find the smallest number which when divided by 2 the remainder is 1, when divided by 3 the remainder is 2, when divided by 4 the remainder is 3, when divided by 5 the remainder is 4, and when divided by 6 the remainder is 5.
Problem
Solve for x, y, and z from the following system of equations.
$x(y + z) = 12$ → Equation (1)
$y(x + z) = 6$ → Equation (2)
$z(x + y) = 10$ → Equation (3)
Problem
Find the value of x, y, and z from the given system of equations.
$x(x + y + z) = -36$ → Equation (1)
$y(x + y + z) = 27$ → Equation (2)
$z(x + y + z) = 90$ → Equation (3)
Problem
Find the value of x, y, and z from the following equations.
$xy = -3$ → Equation (1)
$yz = 12$ → Equation (2)
$xz = -4$ → Equation (3)
