Linear equations: how do I solve -5y= -x+7

Question

is there a way to solve the equation without fractions or decimal points

Answer 1

Heather,

 

Sure.  It's a straight line that has multiple solutions.

 

-5y = -x + 7  Just solve it for x in terms of y

x = 7 + 5y

Then when y =1, x = 12

Then when y =-1, x = 2

Then when y =2, x = 17

Then when y =-2, x = -3

Then when y =3, x = 22 ,  etc. etc for integer pair solutions that you asked for.

 

Solve it for y and you get the slope-intercept form ( y = mx + b) of a straight line. 

 

y = (1/5)x - (7/5).