Mathematics

15.03.2020 14:33

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Which values for a and b will create infinitely many solutions for this system of

Which values for a and b will create infinitely many solutions for this system of equations

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needhelpasap4900

5,0(23 marks)

A = 6, B = -15

Step-by-step explanation:

In order for there to be infinitely many solutions, the equations must be dependent. That is, one of them must be a multiple of the other. Here, the multiplier is apparently -1.

Comparing coefficients on the left, we see that the bottom equation has an x-coefficient that is the opposite of the one in the top equation. So, to make y-coefficients opposite, the top equation should read ...

4x -6y = 15 . . . . . A = 6

Carrying that through, the bottom equation should read ...

-4x +6y = -15 . . . . . B = -15

gracie0818

4,9(80 marks)

You can factor out the binomial $(y-1)$ out of $8(y-1)-x(y-1)$ .if you can't see it, then we can let $a = (y-1)$ .then it turns into $\begin{aligned} 8(y-1)-x(y-1) & = 8a - xa \\ & = a(8-x) \end{aligned}$ and then substituting back in, you get $(y-1)(8-x)$

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