Easy Simultaneous question 1

Algebra Level 1

{ x y = 12 x + y = 7 \large \begin{cases} xy = 12 \\ x + y = 7 \end{cases}

There are two ( x , y ) (x, y) pairs satisfying the the system of equations above. Find the product x 1 x 2 y 1 y 2 x_1x_2y_1y_2 .


The answer is 144.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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3 solutions

Kenny O.
Sep 3, 2017

(X1)(Y1)=12, (X2)(Y2)=12. Thus, (X1)(Y1)(X2)(Y2)=144

2 Helpful 0 Interesting 2 Brilliant 0 Confused
Matin Naseri
Jan 15, 2018

Very simple.

x \large{x} ⋅ y = 12 \cdot {y = 12}

x 1 × x 2 × y 1 × y 2 = 12 × 12 = 144 \large{x_1×x_2×y_1×y_2=12×12=144}

0 Helpful 0 Interesting 1 Brilliant 0 Confused
Saksham Jain
Nov 16, 2017

3,4&&4,3 Product is 12²=144

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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