Question

A set of equations is given below:

Equation R: y = 5x + 10
Equation S: y = 5x + 5

Which of the following options is true about the solution to the given set of equations?

One solution
Two solutions
Infinite solutions
No solution

Answer 1

Hello,

Answer D: no solution

y=5x+10==>y-5x=10
y=5x+5==>y-5x=5

==>10=5 Is False

Answer 2

Option D. No solution

Explanation:

In the question we have been given two equations of the line as

R: y = 5x + 10

S: y = 5x + 5

In these two linear equation which are in form of y = mx + c

Where m is the slope of line.

Here in equation R: slope of the line= 5

in equation S: slope of line = 5

Therefore both the lines have same slope means both the lines are parallel to each other and they don't intersect.

This clearly speaks that both the equations have no solutions.

Option D. is the correct option.