We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

$\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}$

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

$\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark$

Because we ended up with a true statement, we have determined that the value of x is -29.

6 0

3 years ago

What is the area of a trapezoid ABCD with bases AB and CD , if:<br> AB=10cm, BC=DA=13cm, CD=20cm

aliya0001 [1]

Step-by-step explanation:

to find height :

draw a height from A to CD

height = (13) 2 - 5) 2 = 12 Cm

area = 10+20 /2 X 12= 180 cm 2

7 0

3 years ago

Item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Snowcat [4.5K]

40(0.08) = 3.2

3.2+40

Answer: 43.20

5 0

3 years ago