Question

Consider the following system of equations:

Equation A: y = 2x + 8
Equation B: 3(-2x + y) = 12

What is the solution to the system of equations?
please help!

Answer 1

Ok so they made it rlly easy for you (yay!!)
Plug A into B
3(-2x + (2x + 8)) = 12
3(8) = 12
24 ≠ 12
No real solution!!

If you graph them, the lines are parallel so they will never intersect!!

Answer 2

Explanation:

y

=

2

x

+

⋅

2

x

−

y

=

−

8

,

Eqn (1)

3

⋅

(

−

2

x

+

y

)

=

12

−

6

x

+

3

y

=

12

2

x

−

y

=

−

4

Eqn (2)

It may be seen, L H S of equations (1) & (2) are same but not R H S.

Hence there is inconsistency in the given statement and no solution.