Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!
Start off by "switching" the variables
then solve for "y"
7x - 9 = 28 + 4x - 4
7x - 4x = 28 - 4 + 9
3x = 33
x = 11
Lets make the cost of the algebra textbook = x and the cost of the geometry book = y
2x+3y=64
4x+2y=66
now we get one of these equations in terms of one variable
2x+3y=64 ---> 2x=64-3y ---> x=32-1.5y
now we can plug that numeric value back into the other equation
4(32-1.5y)+2y=66
we can now simplify this equation in order to get the value of y
4(32-1.5y)+2y=66 ---> 128-6y+2y=66 ---> 128-4y=66 ---> -4y=-64 ---> y=16
