Answer:
x= negative 1 and 2/5 y=1 and 3/5
Step-by-step explanation:
1. Start by putting both equations into slope-intercept form. (y=mx+b)
-3x+3y=9
-3x+3x+3y=9+3x
3y=9+3x
3y/3=9+3x/3
y=3+x
2x-7y=-14
2x-2x-7y=-14-2x
-7y=-14-2x
-7y/-7=-14/-7-2x/-7
y=2+2/7x
2. Graph the equations and find where they intercept.
Answer:
4x - 5y = 10
Step-by-step explanation:
Any line parallel to 4x - 5y = 35 will have the same equation EXCEPT that the constant will be different.
Starting with 4x - 5y = 35, replace x with the given x-coordinate -5 and the given y-coordinate -6, and finally the given 35 with the constant C:
4(-5) - 5(-6) = C, or
-20 + 30 = C. Thus, C = 10, and the equation of the new line is
4x - 5y = 10
Answer:
$13.6
Step-by-step explanation:
Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.
It is given that including sales tax, she paid a total of $45.30.
Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.
Since the tax for all 3 CDs was same, the total amount of tax that she paid was:
3 * 1.50 = 4.50
Therefore the total tax on 3 CDs is $4.50
Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:
3x + 4.50 = 45.30
3x = 45.30 - 4.50
3x = 40.8
x = 13.6
Therefore the price of each CD before tax is $13.6.
