Question

Solve the equation for y: y + 7 = 5/4 (x + 16)

Answer 1

STEPS FOR SOLVING LINEAR EQUATIONy+7=45​(x+16)Use the distributive property to multiply 45​ by x+16.y+7=45​x+20Swap sides so that all variable terms are on the left hand side.45​x+20=y+7Subtract 20 from both sides.45​x=y+7−20Subtract 20 from 7 to get −13.45​x=y−13Divide both sides of the equation by 45​, which is the same as multiplying both sides by the reciprocal of the fraction.45​45​x​=45​y−13​Dividing by 45​ undoes the multiplication by 45​.x=45​y−13​Divide y−13 by 45​ by multiplying y−13 by the reciprocal of 45​.x=54y−52​SOLVE FOR Yy=45x​+13

Answer 2

To solve the equation for y, we need to get y by itself on one side of the equation.

The first step is to get rid of the fraction on the right side of the equation by multiplying both sides by 4:

4y + 28 = x + 16

Then, we need to move the x term to the left side of the equation by subtracting x from both sides:

4y + 28 - x = 16

Then, we need to move the constant term 28 to the left side of the equation by subtracting 28 from both sides:

4y - x = -12

Finally, we have the equation in the form y = (1/4)x - 3, so the solution for y is y = (1/4)x - 3

It is important to note that in this solution we have used the distributive property and followed the order of operations to get to the final result, if you don't follow this steps you might get a different result.