Solve the system. Algebra 2?

➊ 9 = 4x - 2y

➋ 2x + 6 = y                   ← Multiply this equation by 2 to get a 2y

➊ 9 = 4x - 2y

➋ 4x + 12 = 2y                ← Now, substitute 4x+12 in for 2y in equation ➊

➊ 9 = 4x - (4x+12)           ← Now, solve for x

    9 = 4x - 4x 12

    9 = 12                         ← This is false for ALL values of x.

                                          That tells you there is no solution to this system

                                          Note:

                                          If you write the two original equations in the form y=mx+b,

                                          you'll find that these lines have the same slope but different y-intercepts.

                                          They are distinct parallel lines which never intersect ... So, no solution

    ANSWER

  B.no solution

Have a good one!

.

Solve the system.

9 = 4x - 2

2x + 6 = y

Are you sure you have the correct system ??

4x = 11

x = (11/4)

y = (11/2) + (12/2) = (23/2)

(11/4, 23/2)

check your problem !!

the two lines are PARALLEL...there is NO SOLUTION

9 = 4x - 2y --- (1)

2x + 6 = y --- (2)

Substituting (2) into (1), we will get:

9 = 4x - 2(2x + 6)

9 = 4x - 4x - 12

9 = -12

Hence, there is no solution.

2y try that man.