I need to solve by equating the simultaneous equations?

Question

formulas are

y = 2x + 26

y = 10 - 6x

Please help, Ive never been able to get my head around equating

Answer 1

Find x:

2x + 26 = 10 - 6x

x + 13 = 5 - 3x

4x = - 8

x = - 2

Find y:

= 2(- 2) + 26

= - 4 + 26

= 22

Answer: x = - 2, y = 22

Proof (2nd equation):

22 = 10 - 6(- 2)

22 = 10 + 12

22 = 22

Answer 2

Here's a good explanation:

http://www.mathclues.com/MSubstitutionMe...

Hope this helps you!  Please email anytime for further questions.

Answer 3

It's simple: You have two things equal to the same thing, in this case y,

so you have two things equal to each other, thus:

2x + 26 = y = 10 - 6x

2x + 26 = 10 - 6x

8x = -16

x = -2

and

y = 10 - 6*(-2) = 22

Answer 4

y=2x+26=y=10-6x

8x=16

x= -2

y=10

Answer 5

This is a simple problem.  Since both equations have y on the left, the two right sides must be equal, that is,

  2x + 26 = 10 - 6x

Add 6x to both sides, resulting in

8x + 26 = 10.

Subtract 26 from both sides, resulting in

8x = -16.

Divide both sides by 8, resulting in

x = -2.