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3 years ago

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)

Mathematics

1 answer:

lianna [129]3 years ago

7 0

Answer:

The equation has only one solution which is:

$x = 10$

Step-by-step explanation:

Given the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

Let us solve the equation to determine the type of the equation

$3x\:+\:6\:=\:-1\:-\:3\:+\:4x$

subtract the number: -1 - 3 = -4

$3x+6=4x-4$

subtract 6 from both sides

$3x+6-6=4x-4-6$

$3x=4x-10$

subtract 4x from both sides

$3x-4x=4x-10-4x$

$-x=-10$

Divide both sides y -1

$\frac{-x}{-1}=\frac{-10}{-1}$

$x=10$

Therefore, the equation has only one solution which is:

$x = 10$

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John has two colored varieties of water bottles: white water bottles and black water bottles. The total number of water bottles

mixas84 [53]

Answer:

15 black water bottles

Step-by-step explanation:

let w represent white water bottles, and let b represent black water bottles.

set up a system of equations:

w+b=20

w+2b=35

(the top equation shows that the number of white water bottles he sold and the number of black water bottles he sold equals to 20, since it says that the total number of water bottles is 20. the bottom equation shows that white water bottles cost $1, and black water bottles cost $2, and that the total amount of money he got from selling them is $35).

in the top equation, isolate w:

w+b=20

w=20-b

now we do substitution. in the bottom equation, substitute 20-b for w:

w+2b=35

20-b+2b=35

then, solve:

b+20=35

b=15

this means that he sold 15 black water bottles.

4 0

3 years ago