Math and Arithmetic
Algebra
Calculus

# Does this system of equation 5x - y equals 7 have one solution no solution or an infinite number of solutions?

Any equation, such as yours, with two variables (x and y, on your case) has an infinite number of solutions.

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## Related Questions

There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)

x - 2y = -6 x - 2y = 2 subtract the 2nd equation from the 1st equation 0 = -8 false Therefore, the system of the equations has no solution.

There are no candidates below, so none of them. There are an infinite number of solutions to the equation, and from here, we can't see which ones are on your list of choices.

There is no such pair. The solution to equation 1 and equation 2 is x = 1, y = 1. The solution to equation 2 and equation 3 is x = 1, y = 1. And the solution to equation 1 and equation 3 is any point on the line 3x + 2y = 5 - an infinite number of solutions. The fact that the determinant for equations 1 and 3 is zero (or that they are not independent) does not mean that there is no solution. It means that there is no UNIQUE solution. In this particular case, the two equations are equivalent and so have an infinite number of solutions.

This would be like the equation of a line, with infinite solutions.

16 = 16 is an identity, not an equation. An identity does not have solutions.

No. There is not enough information in the equation x + 2y = 2, by itself, to solve it. There are an infinite number of solutions. A second equation, or information to allow a second equation to be derived, must be given to find a solution.

This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.

An equation never equals a number, but its solution often does.-- An equation with a solution of six: [ 3x - 14 = 4 ]-- An equation with a solution of three: [ 14 - 10x = -16 ]-- An equation with both solutions: [ x2 - 9x + 20 = 2 ]An equation that equals 6 is 10 - 4 = 6An equation that equals 3 is 10 - 7 = 3

You cannot solve one equation in two unknowns. The given equation defines a line in the 2-dimensional plane and every point on the line is a solution. There are, therefore, an infinite number of solutions.

There is one solution. To find it, divide both sides of the equation by 2. This leaves you with x=5, where 5 is your solution.

The solution set consists of the infinite number of points that lie on the straight line y = -x + 7 or x + y = 7.

It's the equation of a straight line. Every point on the line is a solution to the equation. There are an infinite number of them.

There is only one solution to that equation. It's . . . . . x = -16

It will have two solutions because its a quadratic equation: x = -8.472135955 or x = 0.472135955

This equation has infinite solutions. For example x = 6, y = 5 satisfies the equation. (30 - 5 = 25)

X = 8That equation has exactly one solution.The solution is:x = 8

"Solution" usually means values for the variables that make the equation a true statement.3x - y = -6 has an infinite number of solutions. The graph if the equation is a straight line,and every point on the line is a solution of the equation.Here are a few of them:. X . . . . Y .-3 . . . . -3-2 . . . . zero-1 . . . . +3+2 . . . . 12+3 . . . . 15

is an equation of a line in plane coordinate geometry. The coordinates of every point on that line satisfy the equation so there are an infinite number of solutions to the equation.

An "extraneous solution" is not a characteristic of an equation, but has to do with the methods used to solve it. Typically, if you square both sides of the equation, and solve the resulting equation, you might get additional solutions that are not part of the original equation. Just do this, and check each of the solutions, whether it satisfies the original equation. If one of them doesn't, it is an "extraneous" solution introduced by the squaring.

It is not appropriate to talk about "the" three solutions for this equations; the equation describes a straight line, and has an infinite number of solutions. Solve the equation for "y", substitute any value for "x", and calculate the corresponding value for "y", to get one opf these solutions.

The answer is called the discriminant. It shows you how many solutions there are in an equation. If the discriminant equals a positive number, then there are two solutions, equals 0 one solution, negative number: no solution.

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