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Solve this system of equations.

2x + 6y = −6,

4x − 3y = −12


What is the solution to the system of equations?

User Mr Moose
by
5.1k points

2 Answers

3 votes

Answer:

-3 and 0

Explanation:

i hope this helps :)

User Colonel Panic
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5.3k points
6 votes

Answer:

x = -3 and y = 0

Explanation:

It would be more direct to apply elimination in this problem, rather than substitution:

2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30

+ 2(4x - 3y = -12) + 8x - 6y = -24

Now let us solve for x through simply algebra:

10x = -30,

x = -3

Substitute this value of x into the first equation to get the value of y:

2( -3 ) + 6y = -6,

-6 + 6y = -6,

6y = 0,

y = 0

User Pyderman
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5.5k points