Use the distributive property to simplify these expressions and combine all like terms.
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The given linear system is:
The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.
I will be multiplying the second equation by -1.
Rewrite the system:
Subtract:
Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.
Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.
Open the parentheses and multiply:
Move 5 to the other side to leave the variable alone:
You will be subtracting since you're "removing" it by doing the opposite of it.
Lastly, divide both sides by 7 to leave y alone.
The answer is (1, 4).