Question

Solve the following system of equations graphically on the set of axes below.

y, equals, 2, x, minus, 1
y=2x−1
x, plus, y, equals, 2
x+y=2

Answer 1

Step-by-step explanation:The given equations are:

1. y = 2x - 1

2. x + y = 2

To find the value of x and y, we can solve these equations simultaneously using a method called substitution or elimination.

Let's start with the substitution method:

1. Solve equation 1 for y:

y = 2x - 1

2. Substitute this value of y into equation 2:

x + (2x - 1) = 2

3. Simplify the equation:

x + 2x - 1 = 2

3x - 1 = 2

4. Add 1 to both sides of the equation:

3x - 1 + 1 = 2 + 1

3x = 3

5. Divide both sides of the equation by 3:

3x/3 = 3/3

x = 1

Now, substitute the value of x into equation 1 to find y:

1. y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, the solution to the given system of equations is x = 1 and y = 1.

In summary:

The solution to the given system of equations is x = 1 and y = 1. This means that when x and y are both equal to 1, both equations are satisfied simultaneously.