5 Questions
What is the number represented by the two-digit number z, where z is exactly four times the sum of its digits and twice the product of the digits?
42
In the pair of linear equations $2x+y=6$ and $2x-y+2=0$, what is the area of the shaded region bounded by these lines and the x-axis?
10 square units
If the ratio of two numbers is 2:3, what is the sum of the two numbers?
15
For the system of equations $2x+3y=7$ and $(p+q+1)x+(p+2q+2)y=4(p+q)+1$, what are the values of p and q for which the system represents coincident lines?
p=2, q=1
If the length of the sides of an equilateral triangle are $2x$, $x+y$, and $x+2y$, what is the perimeter of the triangle?
$9x+4y$
Test your problem-solving skills with these challenging pair of linear equations in two variables problems. Practice finding the speed of a boat in still water and the speed of the stream, as well as determining the time taken by one man alone and one woman alone to complete a task.
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