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Dafna1 [17]
2 years ago
8

Solve the following system of equations and show all work. y = 2x2 y = 3x -1 (10 points)

Mathematics
1 answer:
dedylja [7]2 years ago
7 0

Answer: \left(\frac{1}{2}, 1 \right), (1, 2)

Step-by-step explanation:

We have y=2x^{2} and y=3x-1.

Since both of the equations are set equal to y, we can conclude that:

2x^2 = 3x-1\\\\2x^{2}-3x+1=0\\\\(2x-1)(x-1)=0\\\\x=\frac{1}{2}, 1

If x=\frac{1}{2}, then y=3\left(\frac{1}{2} \right)-1=1

If x=1, then y=3-1=2

Therefore, the solutions are \left(\frac{1}{2}, 1 \right), (1, 2)

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