# Algebra

posted by .

Is it possible to find a value for c so that the linear system below has exactly one solution? Explain.
5x+3y= 21 Equation 1
y= -5/3x+c Equation 2

• Algebra -

1) 5x+3y = 21
2) 5x+3y = 3c

since the two lines have the same slope, they either coincide or never intersect.

No unique solution exists.

## Similar Questions

1. ### College Algebra 2

for the following equation state the value of the discriminant and then describe the nature of the solution 11x^2+9x+11=0 What is the value of the discriminant?

Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't understand …
3. ### Algebra 1

23.what is the slope of a line parallel to a line represented by the equation x=2y-3?
4. ### Algebra 1

What is an equation of a line perpendicular to the line with equation y = 1 - 3x a.y=-3x + 5 b. y=3x + 5 c.y=-1/3x + 5 d. y=1/3x + 5 To solve the linear system below, which substitution of unkowns is proper ?
5. ### SAT math

1. x>15-2x / -3 Solve the linear inequality. Write the solution in set builder notation. So, -3x>15-2x, x<-15..?
6. ### math

Given the equation - 3x +2y =4. Write another linear equation that will form a linear system with exactly one solution?
7. ### math -check

given the equation -3x +2y =4, Write another equation that will form a linear system with: one solution, no solution and infinite solution. Graph the linear using graphing calculator and write your window setting in the format x: Xmin, …
8. ### math help pls pls

Two systems of equations are shown below: System A 6x + y = 2 −x − y = −3 System B 2x − 3y = −10 −x − y = −3 Which of the following statements is correct about the two systems of equations?
9. ### Algebra

Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work to solving your system of equations algebraically. Part 2. Graph your system of equations, and show the solution graphically …
10. ### Algebra

Two graph never intersect. As such, the equation has no solutions. Create an equation where the left side is a linear function and the right side is a square root function. Make it so that the equation has exactly one solution.

More Similar Questions