You have
x² + 7x - 2 = 0
→ x = (-7 ± √(7² - 4×1×-2))/(2×1) = (-7 ± √57)/2
→ x = (-7 - √57)/2
→ y = 4 × (-7 - √57)/2 + 8 = -6 - 2√57
or x = (-7 + √57)/2
→ y = 4 × (-7 + √57)/2 + 8 = -6 + 2√57
The solution is the two ordered pairs (x, y)::
( (-7 - √57)/2, -6 - 2√57) and ((-7 + √57)/2, -6 + 2√57)
x = 1 and y = 2
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
there is no linear equations that has no solution every problem has a solution
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
A pair of simultaneous equations in two unknowns which are inconsistent - in the sense that there is no solution that simultaneously satisfies both equations. Graphically, the equations are those of two parallel lines (slope = 2). Since, by definition, they cannot meet there is no solution to the system.
-1
No solution
The two rational solutions are (0,0,0) and (1,1,1). There are no other real solutions.
7
x=3
x = y = 3
x = 1 and y = 2
That system of equations has no solution. When the two equations are graphed, they turn out to be the same straight line, so there's no such thing as a single point where the two lines intersect. There are an infinite number of points that satisfy both equations.
there is no linear equations that has no solution every problem has a solution
Check your text book for how to solve it.
{-1,-2}
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.