Answer:
x=1
Step-by-step explanation:
First find a common denominator between 7 and 4 which is 28, Multiply both equations by 28 eliminating the denominators so now you have theses two equations: 4(2x + 12) = 7(3x + 5) distribute these equations to get:
8x + 48 = 21x +35 now you want to get the x's on one side so 8-21 = -13 which as an equation so far would be -13x + 48 = 35 now do 35-48 = -13 so you can have 13x alone on one side. Your final equation now before you solve is
-13x = -13 the divide -13 by -13 to get 1.
Hope this helps you understand it better
Answer: wtfffff
Step-by-step explanation:
Answer:
x- intercept = - 8, y- intercept = 6
Step-by-step explanation:
To find the x- intercept let y = 0 and solve for x
- 3x + 4(0) = 24
- 3x = 24 ( divide both sides by - 3 )
x = - 8 ← x- intercept
To find the y- intercept let x = 0 and solve for y
- 3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ← y- intercept
a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

Then by linearity, we have

Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8