Enter your answer and show all the steps that you use to solve this problem in the space provided.%0D%0A%0D%0A%0D%0A%0D%0AFind the values of x and y.

Answer 1

To find the values of x and y, we need to solve the system of equations given.

Equation 1: x + y = 7
Equation 2: 2x - y = 1

We can solve this system using the method of substitution or elimination.

Method 1: Substitution
From Equation 1, we can express y in terms of x:
y = 7 - x

Substitute this expression for y into Equation 2:
2x - (7 - x) = 1
2x - 7 + x = 1
3x - 7 = 1
3x = 8
x = 8/3

Now substitute this value back into Equation 1 to find y:
8/3 + y = 7
y = 7 - 8/3
y = 21/3 - 8/3
y = 13/3

So, the values of x and y are:
x = 8/3
y = 13/3