SOLUTION: The system of equations below has multiple solutions, all of which satisfy the equation y=4/3x-2. What is the value of a?
8x-6y=12
12x-ay=18
a. -6
b. 9
c. 14
d. 18
Question 987529: The system of equations below has multiple solutions, all of which satisfy the equation y=4/3x-2. What is the value of a?
8x-6y=12
12x-ay=18
a. -6
b. 9
c. 14
d. 18 Found 2 solutions by algebrahouse.com, MathLover1:Answer by algebrahouse.com(1659) (Show Source):
You can put this solution on YOUR website! Since they have multiple solutions, they should all look the same when put into slope-intercept form.
y = (4/3)x - 2 {first equation is already in slope-intercept form}
8x - 6y = 12 {second equation}
-6y = -8x + 12 {subtracted 8x from each side}
y = (4/3)x - 2 {divided each side by -6, getting into slope-intercept form}
Notice the second equation is now the same as the first, when put into slope-intercept form.
12x - ay = 18 {third equation}
-ay = -12x + 18 {subtracted 12x from each side}
y = (12/a)x + (-18/a) {divided each side by -a}
The question, now, is what number would make the 12/a into 4/3 and the -18/a into -2?
You can put this solution on YOUR website!
-----------------
-------------
-------------
-------------
this will be equal if: => =>
so, your answer is:
