Answer:
1) (2.2, -1.4)
2) (1.33, 1)
Detailed solution:
Question 1)
We are provided with two linear equations representing lines, and we need to find the intersection point that solves the system.
The lines given are:
Line 1 equation:
This line passes through points (0, 2.5) and (2.2, -1.4).
Line 2 equation:
The second line goes through (0, -3) and (2.2, -1.4).
According to the graph and data, the solution to the system is the coordinate where both lines intersect.
The solution to a system of linear equations is the coordinate pair common to both lines, i.e., the intersection point.
Here, both lines share the point (2.2, -1.4), indicating it is their intersection and the solution.
Therefore, the solution for question 1 is (2.2, -1.4).
Question 2)
The equations given are:
y = 1.5x - 1 Equation 1
y = 1 Equation 2
The method of substitution can be used to find the solution.
Replacing y from Equation 2 into Equation 1 gives:
1 = 1.5x - 1
Add 1 to both sides:
2 = 1.5x
Dividing both sides by 1.5 yields:
x = 2/1.5
x = 1.33
y = 1
Thus, the solution of the system is (1.33, 1).