i don't know this answer can you help me?

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Hi Hailey;

y = 5x

2x + y = 14

Let's take the second equation and isolate y...

2x + y = 14

Let's subtract 2x from both sides...

-2x+2x+y=-2x+14

SECOND EQUATION...y=-2x+14

FIRST EQUATION.......y=5x

Let's subtract the first equation from the second...

0=-7x+14

Let's add 7x to both sides...

7x+0=7x-7x+14

7x=14

x=2

Let's plug-in x=2 into the first equation..

y=5x

y=(5)(2)

y=10

Let's plug-in x=2 into the second equation to verify y=10...

y=-2x+14

10=[(-2)(2)]+14

10=-4+14

10=10

The two lines meet at (2,10).

Your question asked if these lines meet at (10,2) thus rendering such as a "solution".

The answer is NO.

If (10, 2) is a solution to this system of equations:

y = 5x

2x + y = 14

it will make both equations true. So we just perform a check:

y = 5x: 2 =? 5 * 10 => NO

No need to check other equation.

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