Question

What is the solution of the system?

y = x - 14
y = -4x + 11

Explain, please. Medal for best answer.

Answer 1

What are you solving for? and how?

Answer 2

Try elimination.

Multiply the entire top equation by 4 and add to the 2nd equation.

4y ... 4x - 56
+
y ... -4x + 11

The x's cancel, solve for y, then solve for x.

Answer 3

5y = (-56+11)

Answer 4

So, 5y = -45?

Answer 5

Divide both sides by 5 to find y. Then plug in the y-value into

y = x - 14, to solve for x

Answer 6

y = -9

Then, -9 = x -14 is the equation I work with?

Answer 7

Yes

Answer 8

you can also wt=rite is as x - 14 = -9

Answer 9

Would I subtract both sides by -9? I'm a bit confused.

Answer 10

Or, add 9 to both sides?

Answer 11

x - 14 = -9 solve for x
+14 +14

x -14 + 14 = - 9 +14

x = -9 +14

x = ?

Answer 12

Oh, I was trying to use the wrong side it seems.

x = 5?

Answer 13

The solution set is (5,-9)

Answer 14

Correct

Answer 15

Great! Thanks for all the help, hopefully in the future I'll be able to figure it all out easier.

Answer 16

Now, to close the question... thanks again!