Question

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.

3x+6y=3
2x-10y =44

Answer 1

(3,2) APEX

Explanation:

Answer 2

To solve this problem you must apply the proccedure shown below:

1. You have the following system of equations given in the problem above:

`\left \{ {{3x+6y=3} \atop {2x-10y=44}} \right.`

2. By applying the Substitution method, you can solve the first equation for
`x`:

`3x+6y=3\\x=(3-6y)/(3)`

3. Simplifying:

`x=1-2y`

4. Now, substitute
`x=1-2y` into the second equation:

`2x-10y=44\\2(1-2y)-10y=44`

5. You must apply the distributive property and solve for
`y`:

`2-4y-10y=44\\-14y=42\\y=(42)/(-14)\\y=-3`

6. Now, substitute the value of
`y` into the first equation and solve for
`x`:

`3x+6(-3)=3\\3x-18=3\\x=(21)/(3)\\x=7`

Therefore, the answer is:
`(x,y)=(7,-3)`