Given a linear equation 7x + 4y = 28, express 1 variable in terms of another.

1) First, we express x through y; 2) To do this, we transfer 4y to the right side, with the opposite sign. We get: 7x = 28 – 4y; 3) Divide both sides of the equation by the coefficient in front of x – by 7. We get: x = (28 – 4y) / 7; 4) Now we express y in terms of x; 5) To do this, transfer 7x to the right side, with the opposite sign. We get: 4y = 28 – 7x; 6) Divide both sides of the equation by the coefficient in front of y – by 4. We get: y = (28 – 7x) / 4; 7) Note that if you shorten the expression, then x = (28 – 4y) can be written as x = 4 – 4y / 7; y = (28 – 7x) / 4 can be written as y = 7 – 1.75x. And yet, for those who have not figured it out: the “/” sign means division and when writing is written as a fraction.