maths
posted by usha .
For what natural number of x and y the equation 2x+5y7=0 has unique solutions? If the values are taken from collection of real numbers do you think the equation has unique solution

maths 
Steve
clearly, x=1 and y=1 is a solution.
It is clearly the only solution, since using any other natural numbers (which are positive integers) produces 2x+5y which is greater than 7.
If you include all real numbers, the graph is a line, and any point on the line is a solution. It happens that the only point with positive integer coefficients is (1,1).
Respond to this Question
Similar Questions

algebra
Which has a Unique solution, No solution, or infinitely many solutions? 
MAths
Consider the following system of inequalities: (c−1)x^2+2cx+c+4≤0  (1) cx^2+2(c+1)x+(c+1)≥0  (2) The sum of all real values of c, such that the system has a unique solution, can be written as a/b, where a … 
algebra
Consider the following system of inequalities: {(c1)x^2+2cx+c+4<0 { cx^2 + 2(c+1)x+(c+1)>0 The sum of all real values of c, such that the system has a unique solution, can be written as ab, where a and b are coprime positive … 
algebra
Consider the following system of inequalities: {(c−1)x^2+2cx+c+4≤0 cx^2+2(c+1)x+(c+1)≥0 The sum of all real values of c, such that the system has a unique solution, can be written as ab, where a and b are coprime … 
maths
Consider the following system of inequalities: {(c−1)x^2+2cx+c+4≤0 cx^2+2(c+1)x+(c+1)≥0 The sum of all real values of c, such that the system has a unique solution, can be written as ab, where a and b are coprime … 
math
The equation 6x7y=5 has a unique solution if x, y are: 1) Real numbers 2) Rational numbers 3) Irrational numbers 4) Natural numbers 
Linear algebra
Consider for every real number a the linear system of equations: { x +( a + 1 )y + a^2 z = a^3 { ( 1  a )x +( 1  2a )y = a^3 { x +( a + 1 )y + az = a^2 b)Find the values of a for which the system has no solution, infinitely many … 
algebra
A miniaturedoll collector has a total of 254 unique dolls. The collector can afford to add 3 unique dolls a week to the collection. Which algebraic expression represents the number of unique pieces the collector has at the end of … 
Maths
Find the value(s) of k for which the pair of equations: Equation 1: kx + (k+1)y = 8 Equation 2: 4x + 3ky = 4 (a) no solutions (b) a unique solution (c) infinitely many solutions Can you please use the gradient way and show your working? 
ALGEBRA CHECK ANSWERS
Solve each equation by graphing the related function. If the equation has no realnumber solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 …