Question

Use the system of equations to answer the following questions. x=y x+y=4part a Solve the system of equations using a graphing method. part b Solve the system of equations using the substitution method.

Answer 1

In this case the answer is very simple. .

We'll have to carry out several steps to find the solution.

Step 01:

Data

x = y eq. 1

x + y = 4 eq.2

Step 02:

part a. graph .

The point where the lines intersect is the solution.

Therefore, analyzing the graph the solution would be.

x = 2

y = 2

Step 03:

part b. substitution.

eq.1 x = y we substitute in equation 2

eq. 2 y + y = 4

2 y = 4

y = 4/2

y = 2

And since x = y, then, x = 2

The answer is:

x = 2

y = 2