Solve the given system. x = 10 + y
y = 6x + 5

I need some help with this particularly on how to solve systems

x = -3

y = -13

Step-by-step explanation:

There are many ways you can solve these types of questions:

x = 10 + y ... 1

y = 6x + 5 ... 2

You can sub y = 6x + 5 into the first equation

Hence, x = 10 + 6x + 5

Simplify

-5x = 15

x = -3  ===> sub this value into any equation ...1 or ...2 (I'm going to go with 1)

-3 = 10 + y

-3 - 10 = y

y = -13

Another way: Rearrange the first equation so that it would be y = x - 10

Then the two equations would be:

y = x - 10 ... 3

y = 6x + 5 ... 4

Since they both equal y and y has to be the same value, these two equations would equal each other.

Hence, x - 10 = 6x + 5

Rearrange: x - 6x = 5 + 10

-5x = 15

x = -3

Sub the value of x into 3 or 4 and you would get y = -13

christopher is 272,195 year old

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .