Determine whether the point 1.8 is a solution of the system. Subitute the point of each equation.
2x+6y=50
10x+0y=10
To determine whether the point (1.8) is a solution of the system, we will substitute the values of x and y into each equation and check if both equations hold true.
Let's start by substituting the values into the first equation:
2x + 6y = 50
Substituting x = 1.8, we get:
2(1.8) + 6y = 50
3.6 + 6y = 50
Next, we will solve this equation to find the value of y:
6y = 50 - 3.6
6y = 46.4
y = 46.4/6
y ≈ 7.73
Now, let's substitute the values into the second equation:
10x + 0y = 10
Substituting x = 1.8, we get:
10(1.8) + 0y = 10
18 + 0y = 10
We can directly see that this equation is not true since 18 is not equal to 10.
Therefore, the point (1.8) is not a solution of the system because it does not satisfy both equations.