Find the values for "a" and "b" that would make the equality true. 7(ay^2+by−3)=14y^2−7y−21

The value of a and b  from the given equation is 2 and -1 respectively;

Given the equation

In order to get the value of a and b that will make the equality equation true, we will have to factorize first;

Next is to compare both sides to get the unknown value

Get the value of "b"

Hence the value of a and b  from the given equation is 2 and -1 respectively;

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a = 2 and b = - 1

Step-by-step explanation:

distribute the left side of the equation and compare the like terms with terms on the right side

7ay² + 7by - 21

compare the coefficients of like terms with 14y² - 7y - 21

7a = 14 ⇒ a = 2

7b = - 7 ⇒ b = - 1