Question

30 POINTS Math question algebra 2

Answer 1

Answer:q=-6

Step-by-step explanation:

If the solution of the system is  {(x,y) : x-3y=4}, then both equation should have proportional coefficients:

$1/2=-3/q=4/8$

Solve it:

1/2 = -3/q

q=-3*2

q=-6

Check whether q=-6 is correct answer, substituting this value into the first ratio:

$1/2=-3/-6=4/8$

q=-6

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Answer 2

Answer:

• Q = 2

Step-by-step explanation:

If the solution to the system is the first equation only, then both equations should be same:

• x - 3y = 4
• Qx - 6y = 8

Double the first equation, then both of coefficients of y and constant will be equal:

• 2x - 6y = 8
• Qx - 6y = 8

Comparing we get Q = 2