7+11v=9v-9 how do you solve by steps

1 answer:

4 0

You're solving this equation for the variable 'v', so the main goal is to isolate it on one side of the equation.

7 + 11v = 9v - 9 Subtract 7 from both sides
7 - 7 + 11v = 9v - 9 - 7 Simplify
11v = 9v - 16 Subtract 9v from both sides
11v - 9v = 9v - 9v - 16 Simplify
2v = -16 Divide both sides by 2
$\frac{2v}{2}$ = - $\frac{16}{2}$ Simplify
v = -8

Check your answer by plugging the value (-8) into the original equation.

7 + 11(-8) = 9(-8) - 9 Simplify the mulitiplication steps
7 + (-88) = -72 - 9 Rewrite 7 + (-88) as 7 - 88
7 - 88 = -72 - 9 Simplify both sides
-81 = -81

The check worked out, so your answer is v = -8 .

You might be interested in

FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM

algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ] , thus

$S_{20}$ = $\frac{20}{2}$ [ (2 × - 1) + (19 × 4) ]

= 10(- 2 + 76) = 10 × 74 = 740

8 0

3 years ago

What is the discriminant <br><br> 3g^2+10= -15g

Ilia_Sergeevich [38]

$\bf 3g^2+10=-15g\implies 3g^2+15g+10=0
\\\\\\
\begin{array}{llcccll}
& 3g^2& +15g& +10\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\\\\\\
discriminant\implies b^2-4ac\implies 15^2-4(3)(10)$

7 0

3 years ago

The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length

Fudgin [204]

Let's call the width of our rectangle $w$ and the length $l$ . We can say $l = w + 4$ , since the length is equal to 4 cm greater than the width.

Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or $P = 2l + 2w$ . To solve this problem, we can substitute in the information we know, as shown below: