Question

Find the solution to the system. Write your solution as an ordered pair (x,y)

with no spaces, no solution, or infinitely many. 2x+6y=56 and 4x+12y=24 *

Answer 1

No solution is your answer ( I do not know who you are supposed to type it out, but there are 0 solutions for this system).

Explanation:

Key skills needed: Systems, Elimination, Recognizing Solutions

We are given: 2x + 6y = 56

and 4x + 12y = 24

To find x and y, we can use elimination. We can multiply the first one by -2 and both equations to eliminate x.

-2(2x+6y) = 56(-2) (Tip: Use distributive property

--> -2(2x) = -4x

--> -2(6y) = -12y

--> 56(-2) = -112

This means that: -4x - 12y = -112

Add this one to: + 4x + 12y = 24

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You will get --> 0 = -88

0 does not equal -88 so there is no solution for this!

Hope you understood and have a nice day!!