solve the system:

y = 4x − 19

y = −3x + 23

a
(5, 6)

b
(4, 1)

c
no solution

d
(6, 5)

(6,5)

Step-by-step explanation:

The two expressions are both equal to y, so they are equal to each other.

4x - 19 = -3x + 23

Add 3x to both sides.

7x - 19 = 23

Add 19 to both sides.

7x = 42

Divide by 7 to get x alone.

x = 6

Now find the y value by substituting x in an equation.

y = 4x - 19

y = 4(6) - 19 = 24 - 19 = 5

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!