Answer:
Therefore first number is 3 and second number is 18
Step-by-step explanation:
Sum of the two numbers is 21 and Second number is six times the first number
x+6x = 21
7x = 21
x = 21/7
x = 3
substitute x value in 6x to find second number,
= 6x
= 6*3
= 18
Answer: -2 and -1
You have the correct answer.
Two linear equations can have no solutions, exactly one solution or infinitely many solutions. There will be no solution if the lines are parallel on a graph. There will be exactly one solution if the lines intersect each other on a single point. And finally, there will be infinite solutions if the lines overlap each other perfectly.
A single line however has infinite ordered pair solutions as the line travels infinitely in both directions on the coordinate plane. For example, using the equation y=3x, for any real value of x, we will get a real value for y.
Linear inequalities with two variables have infinitely many solutions. We can use the inequality y>3x as an example. For any real value of x, we will get a real value for y.
I hope this helps!