Question

What value of x satisfies the system of equations below? x + y = 2 7x - y = 2

Answer 1

0.5

Explanation:

We want to get an equation with only one variable for it to be able to be solved.

To do this, we will solve the first equation for y.

`x+y=2\\y=2-x`

Now, we can plug this value of y into the second equation

`7x-y=2\\7x-(2-x)=2\\`

Finally, we have just one variable, and we can solve for x.

`7x-(2-x)=2\\7x-2+x=2\\8x=4\\x=0.5`