Red line :2x+5y=10
Blue line: 4x+10y=20
What do you think the solution yo this system of equations maybe
Does it have no equation
1 equation
More than one equation
This system of equations represents two lines. To determine the solution, we can solve the system by finding the point of intersection of these lines.
By manipulating the two equations, we can rewrite them in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Red line:
2x + 5y = 10
5y = -2x + 10
y = (-2/5)x + 2
Blue line:
4x + 10y = 20
10y = -4x + 20
y = (-4/10)x + 2
y = (-2/5)x + 2
From the equations, we see that both lines have the same slope (-2/5) and the same y-intercept (2). Therefore, they are coincident lines and there are infinitely many solutions to this system of equations.
In conclusion, the solution to this system of equations is more than one equation.