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

x = 4/3; y = 11/3

Step-by-step explanation:

y = - x + 5 and 5x + 2y = 14

Since the first equation is already solved for y, we can use the substitution method.

Substitute y of the second equation with - x + 5.

5x + 2y = 14

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

5x - 2x + 10 = 14

3x + 10 = 14

3x = 4

x = 4/3

Now we substitute x of the first equation with 4/3 and solve for y.

y = - x + 5

y = - 4/3 + 5

y = - 4/3 + 15/3

y = 11/3

Solution: x = 4/3; y = 11/3