What is the solution of the system defined by y = - x + 5 and 5x + 2y = 14?

The two equations given in the question are

y = - x + 5

and

5x + 2y = 14

Now we will have to put the value of y from the first equation in the second equation and then calculate.

5x + 2y = 14

5x + 2 (-x + 5) = 14

5x - 2x + 10 = 14

3x = 14 - 10

3x = 4

x = 4/3

Now we have to put the value of x in the first equation for determining the value of y

y = - x + 5

= - (4/3) + 5

= (15 - 4) / 3

= 11/3

So the value of x is 4/3 and the value of y is 11/3.