Question

If x+7y=16 and 3x-7y=4 what is the value of x​

Answer 1

`x=5\\`

Explanation:

First, put your equations into a system.

`\left \{ {{x+7y=16} \atop {3x-7y=4}} \right.`

Next, use the method of elimination to solve the system. Elimination is when either x or y has an opposite coefficient (so in this case y has a coefficient of 7 or -7 depending on the equation). You can then add the equations, and y is eliminated as a variable. Now you can solve for x.

`4x=20`

Lastly, divide by 4 on both sides to get x by itself.

`x=5\\`