Question

How many solutions does the system of equations have? y -7x = -14 and 7y -49x = -2

Answer 1

y - 7x = -14
y = 7x - 14...slope is 7 and y int is -14

7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7......slope is 7 and y int is -2/7

if the slopes are the same and the y intercepts are different, then u have parallel lines which never intersect and therefore, have no solution

Answer 2

Problem:Solve y−7x=−14;7y−49x=−2Steps:I will try to solve your system of equations.−7x+y=−14;−49x+7y=−2Step: Solve−7x+y=−14for y:−7x+y+7x=−14+7x(Add 7x to both sides)y=7x−14Step: Substitute7x−14foryin−49x+7y=−2:−49x+7y=−2−49x+7(7x−14)=−2−98=−2(Simplify both sides of the equation)−98+98=−2+98(Add 98 to both sides)0=96Answer:No solutions.