Online Test — Simultaneous Linear Equations

If x + y = 10 and x - y = 4, what is the value of x?

In the equation 3x - 2y = 5, if y is substituted with 2, find the corresponding value of x.

To eliminate the variable y from the pair (2x + 3y = 8) and (3x - y = 1) by addition, by what number should the second equation be multiplied?

Arrange the linear equation 5x = 2y - 9 into standard zero-balanced form ready for cross-multiplication.

The sum of two numbers is 12 and their difference is 2. What is the product of these two numbers?

If a1b2 - a2b1 = 0 in a simultaneous linear system, what does this indicate about the system's solutions?

Solve for y in the basic simultaneous pair: x + 2y = 8 and x = 2.

Five times a number added to three times another number equals 21. Which equation properly models this statement?

Find the cross-multiplication constant denominator value (a1b2 - a2b1) for the system: 2x + 5y = 1 and 3x + 4y = 2.

The ages of two siblings add up to 18 years. If the older sibling is double the age of the younger one, how old is the younger sibling?