Answer:
x=0,y=-3
Step-by-step explanation:
3x-5y=15 - equation(1)
x-4y=12 => x=12+4y -equation (2)
Replace equation (2) in equation (1)
3(12+4y)-5y=15
36+12y-5y=15
7y=15-36
7y= -21
y = -21/7
y=-3
If y=-3,then replace in equation (1) ; 3x -5(-3)=15
3x+15=15
3x=0
x=0
He borrowed "a" at 7% and "b" at 8.25%
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus

solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
Find some graphing paper and graph away..
i.e. Sub in x = 0 and find what y = ?
y = 1/2(0) + 3
y = 3
So we know the coordinate (0,3)
When x = 4 , y = ?
y = 1/2(4) + 3
y = 4/2 + 3
y = 2 + 3
y = 5
So we know another coordinate (4, 5)
When x = -4, y = ?
y = 1/2(-4) + 3
y = -4/2 + 3
y = -2 + 3
y = 1
So we know another coordinate (-4, 1)
Putting it all together, the coordinates: (-4, 1) , (0, 3) and (4, 5) should be plenty sufficient to graph and then draw a line of best fit connecting them.
Answer:
The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Step-by-step explanation:
A student invests $500 in a savings account
Principal = $500
Rate of interest = 4% = 0.04
We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years
Formula : 
Where A is the amount after t years =S(t)
t = time
r = rate of interest in decimals =0.04
P = Principal=500
Substitute the value in the formula :
So, 

Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is 