Y=4x and 3x+y=-21. Substitute
1 answer:
value of x= -3 and value of y = -12
Solution set is (-3,-12)
Step-by-step explanation:
We need to solve the system of equations using substitution
The system of equations are:
Solving:
Let
Solving:
Putting value of y from equation 1 into equation 2
So, value of x = -3
Now, putting value of x into equation 1 and find value of y
Value of y = -12
So, value of x= -3 and value of y = -12
Solution set is (-3,-12)
Keywords: System of equations
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To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.