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What are the solutions for the following system of equations? –3x2 + 4y = 21 4x2 + y = 10 (1, 6) and (0, 10) (–1, 6) and (1, 6) (1, 6) and (3, 12) (–1, 6) and (3, 12)

Sagot :

The solutions for the following system of equations will be (–1, 6) and (1, 6). Then the correct option is B.

What is the solution of the equations?

The equations are given below.

–3x² + 4y = 21 ...1

   4x² + y = 10  ...2

Multiply equation 1 by 4 and equation 2 by 3, then we have

–12x² + 16y = 84

   12x² + 3y = 30  

Add both equations, then we have

19y = 114

   y = 6

From equation 2, we have

4x² + 6 = 10

      4x² = 4

        x² = 1

         x = ±1

         x = 1, –1

Then the correct option is B.

More about the solution of the equations link is given below.

https://brainly.com/question/545403

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