Use substitution to solve the system of equations

y=x+1.75

substitute for y in equation 2.

4x-2(x+1.75)=4

4x-2x-3.5=4

2x=7.5

x=3.75

y=3.75+1.75

y=5.5

vertex ( 2 , -5).

Step-by-step explanation:

Given : g(x) = 3x² - 12x + 7.

To find : What is the vertex.

Solution: We have given

g(x) = 3x² - 12x + 7.

Step 1 : Standard form of quadratic equation y = ax² + bx + c.

x coordinate =

Where, b = -12 , a = 3

x coordinate = .

x coordinate =

x coordinate = 2

Now plug the x = 2 in equation 3x² - 12x + 7 to find y coordinate

3(2)² - 12(2) + 7.

3(4) - 24 + 7.

12 -24 + 7

- 12 + 7

y = -5.

Then vertex ( 2 , -5).

Therefore, vertex ( 2 , -5).