A linear equation is given 7x-4y = 28. Express one variable through another.

From the given linear equation 7x – 4y = 28 we express the variable x and get:
7x = 28 + 4y (divide the right and left sides of the equation by the number 7);
7x: 7 = 28: 7 + 4y: 7;
x = 4 + 4/7 * y.
From the given linear equation 7x – 4y = 28 we express the variable y and get:
-4y = 28 – 7x (divide the right and left sides of the equation by the number (-4));
-4y: (-4) = 28: (-4) – 7x: (-4);
y = -7 + 7/4 * x;
y = -7 + 1 3/4 * x.
Answer: x = 4 + 4/7 * y; y = -7 + 1 3/4 * x.



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