Question

Graph this System of Linear Equations and find its solution: 2x + y = 4

and y = = 3x - 1.
1. (2.1)
2. (1,2)
3. (3, 6)
4. (3,3)

Answer 1

To solve the system of linear equations and graph it, substitute the value of y from one equation into the other. The solution to the system is (1, 2).

Step-by-step explanation:

To graph the system of linear equations, we need to find the intersection point of the two lines. We can do this by solving the system of equations.

Given:

Equation 1: 2x + y = 4

Equation 2: y = 3x - 1

To find the solution, we can substitute the value of y from Equation 2 into Equation 1:

2x + (3x - 1) = 4

Simplifying the equation, we get:

5x - 1 = 4

Adding 1 to both sides, we have:

5x = 5

Dividing both sides by 5, we find:

x = 1

Now, substituting the value of x into Equation 2, we get:

y = 3(1) - 1

y = 3 - 1

y = 2

Therefore, the solution to the system of linear equations is (1, 2).