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

Question

asked Oct 18, 2019 90.3k views

2 Answers

Charles Annic · Answer 1 · 2019-10-23T20:35:38+0000

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
:

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

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
:

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

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

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

Therefore, the answer is: