word problem

Question

Is (3, 10) a solution of y  5x - 8?
Explain why or why not.

Answer 1

Assuming the equation given is: y=5x-8

First, you define x and y from the point given in (x,y) format. 

 

x=3, y=10

 

Now, we plug in both values of x and y into the equation given:

 

y=5x-8

 

Plugging in our values,

 

10=5(3)-8

 

Simplifying using order of operations, multiplication goes first,

 

10=15-8

 

Calculating 15-8...

 

10=7

 

As we can see 10 does not equal to 7. After plugging in the values, if we achieve a false expression, there is no solution.