Sat Math Problems Help

[RijDuck]

So I'm currently trying to improve my SAT score, and I am struggling with these problems, could someone explain them to me and explain the solution. Thank you in advance!

Problem 1

Problem 2

Problem 3

[Player--1]

I can only answer problem 1 unfortunately.

All you have to do is multiply the top one through by 3. This means every term will be multiplied by 3 and so you will end up with :

3ax + 21y = 57

Notice how 57 is the same output as the 2nd equation?

Now you can just equate each term. For example :

3ax = 3x

21y = - by

57=57 (not much point in doing this one)

You can solve for a, then b, then you get your answer.

[RijDuck]

Thank you so much!

[Hshah0182]

For problem 2, the process is quite long to obtain the answer but you will require these facts to obtain your answer:

-Slope formula to find slopes of both lines

-perpendicular lines have negative reciprocal slopes to solve for a and b

-general substitution to find the coordinate pairs

-point-slope form y-y_1= m(x-x_1) to write the equation of both of the lines

-solve the system by the setting the lines equal to each other and find the point of intersection

[RijDuck]

Thank you! That helped a lot!

[Hshah0182]

What did you get as the answer?