Question

Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 4. Substitute the values of x, –1 and 2, into either original equation to solve for the values of y. What are the solutions of the system of equations? One solution is (–1, ). The second solution (2, ).

Answer 1

Answer:

The first solution is (–1,16).  

The second solution (2,10).

Step-by-step explanation:

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Answer 2

The solutions of the system of equations are (-1, 16), (2, 10).

What is system of equations?

“A system of equations is a finite set of equations for which we find the common solution.”

Given system of equations is,

$y=x^{2} -3x+12$                               ......................(1)

$y=-2x+14$                                    .....................(2)

We substitute the values of $x$ as –1 and 2, into equation (1) or (2) to solve for the values of $y$ .

For $x=-1$ equation (1) will be,

$y=(-1)^{2} -3(-1)+12$

⇒ $y=1+3+12$

⇒ $y=16$

For $x=2$ equation (2) will be,

$y=-2(2)+14$

⇒ $y=-4+14$

⇒ $y=10$

Therefore, one solution of given system of equations is (-1, 16) and the second is (2, 10).

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