Question

will mark brainliest ! <3
Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x+y=18

x=2y
What is the solution of the system of equations?
A)(12, 6)
B)(6, 12)
C)(9, 9)
D)(15, 3)


lolll i got the answer it was A.

Answer 1

The answer is A. If you plug 12 into x and 6 into y, it would make sense.
12=2(6)
2×6=12
12=12

Hope this helped even though you have the answer :)

Answer 2

Answer:  The correct option is (A) (12, 6).

Step-by-step explanation:  Given that Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math.

Let x represent the number of hours spent on English and y represent the number of hours spent on math.

The following system of equations will represent the given situation :

$x+y=18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x=2y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We are to find the solution of the given system of equations.

Substituting the value of x from equation (ii) in equation (i), we get

$x+y=18\\\\\Rightarrow 2y+y=18\\\\\Rightarrow 3y=18\\\\\Rightarrow y=\dfrac{18}{6}\\\\\Rightarrow y=6.$

From equation (ii), we get

$x=2y=2\times6=12.$

Thus, the required solution of the given system of equations is (x, y) = (12, 6).

Option (A) is CORRECT.