What is the solution set of 4x = y and 2x² - y = 0?

Solution:

Given, the equations are

4x = y --- (1)

2x² - y = 0 --- (2)

Substituting (1) in (2) , we get,

2x² - 4x = 0

Solving for x, we get,

2x² - 4x = 0

Taking 2x as common

⇒ 2x(x - 2) = 0

2x = 0

x = 0

⇒ x - 2 = 0

x = 2

For x = 0, we get y = 4(0) = 0

Then the solution set will be(0, 0)

For x = 2, we get, y = 4(2) = 8

Then the solution set will be (2, 8).

Therefore, the solution set is (0, 0) and (2, 8).

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What is the solution set of 4x = y and 2x² - y = 0?

Summary:

The solution set of 4x = y and 2x² - y = 0 is (0, 0) and (2, 8).