Question

2(x+y)=23-2y 6x-7=20-5y​

Answer 1

Answer:

the solution is (-1/2, 6).

Step-by-step explanation:

Next time, please share the instructions.

Start by carrying out the indicated multiplication:

2x + 2y = 23 - 2y

Consolidate l ike terms:  combine 2y and -2y:  result:  +4y on the left side:

2x + 4y = 23

Let's solve this system using elimination by substitution.  Multiply 2x + 4y = 23 by -3 to obtain a -6x term:

-3(2x + 4y = 23) = -6x - 12y = -69.  Now combine this result with the second equation:

-6x - 12y = -69

6x + 5y  = 20 + 7

-------------------------

        - 7y = -42

Dividing both sides by -7, we get y = 6.  Subbing 6 for y in the 2nd equation, we get:

6x = 27 -5(6), or

6x  =  27 - 30 = -3

Then x = -3/6, or x = -1/2

and the solution is (-1/2, 6).