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2. Solve each system of equations over the set of real numbers.

(y = x² + 3x - 2

(y= 3x² + x - 3

User Pimvdb
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1 Answer

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From the graph, the solution of the first equation, x = 0.6 or - 3.6.

The solution of the second equation is, x = 0.8 or - 1.2

How to find the solution of the function?

The solution of the system of equation is determined by applying the following method.

The given function

y = x² + 3x - 2 ------- (1)

y = 3x² + x - 3 -------- (2)

when x = 0, the value of y is calculated as;

y = 0 + 0 - 2 = - 2

y = 0 + 0 - 3 = - 3

when x = 1, the value of y is calculated as;

y = (1²) + 3(1) - 2 = 2

y = 3(1²) + (1) - 3 = 1

when x = 2, the value of y is calculated as;

y = (2²) + 3(2) - 2 = 8

y = 3(2²) + (2) - 3 = 11

From the graph, the solution of the first equation, x = 0.6 or - 3.6.

The solution of the second equation, x = 0.8 or - 1.2

2. Solve each system of equations over the set of real numbers. (y = x² + 3x - 2 (y-example-1
2. Solve each system of equations over the set of real numbers. (y = x² + 3x - 2 (y-example-2
User Helen K
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