Question

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

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

Answer 1

Answer:

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