4x=3y-7;x=4,5,6

Answer 1

This problem provides an equation and chosen x values. With these x values we will be plugging them into the equation to solve for y

With the equation, 4x = 3y-7

x values = 4, 5, 6

First, lets break this down into a more manageable equation to solve for y given x values by isolating y.

4x = 3y-7 Is the same as the equation 3y-7 = 4x

lets remove the -7 from the y side by adding 7 on both sides

3y-7+7 = 4x+7

3y = 4x+7

now lets divide by 3 on both sides to fully isolate y

3y/3 = (4x+7)/3

distribute the division of 3 to (4x+7)

y = (4/3)x+(7/3)

Now plug in the x values for x...

x = 4

y = (4/3)*4 +7/3

y = (16/3)+7/3

y = 23/3

x = 5

y = (4/3)*5 +7/3

y = (20/3) + 7/3

y = 27/3

x = 6

y = (4/3)*6 +7/3

y = (24/3) + 7/3

y = 31/3

Now with the answers, think critically how y is affects by the change in x.

If you notice the pattern that as x increases by 1, then y increases by 4/3 then you are learning the effects of the slope upon a linear function.