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Solve the system using elimination

2x+3y=8
5x+6y=17

1 Answer

5 votes

Answer:

x=1

Explanation:

For this problem, we can choose to eliminate either the x values or the y values.

In this case, it would be easier to do y.

We alter the first equation by multiplying by -2 on both sides.

-4x+-6y=-16

Now, we have the equations

-4x+-6y=-16 and 5x+6y=17.

We can see that there is -6y in one equation and 6y in the other, meaning that if we add both equations together, the ys will cancel each other out because they are opposites.

So let's add the equations.

-4x-6y+5x+6y=-16+17

x=1

User Krsi
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