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3 years ago

8

2x+4x=3x+1 how do you do this

1 answer:

ser-zykov [4K]3 years ago

6 0

On the left side of the equation, you have like terms : 2x and 4x
That means that you can combine them

2x+4x=3x+1

6x=3x+1

Now, since the 3x is on the other side of the equation, you have to perform the opposite operation by subtracting 3x on both sides of the equation:

The 3x's will cross out on the right side of the equation

3x-3x=0x=0

On the left side:

6x-3x=3x

SO, now the equation looks like:

3x=1

Now, to get x by itself, perform the opposite operation by dividing 3 on both sides of the equation:

The 3's will cross out on the left:

3x ÷ 3 = 1x = x

On the right:

1 ÷ 3 = 1/3

x=1/3

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Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

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3 years ago

at Redbox mike rents 2 DVD's and 3 games for total of $15.50. At the same time John rents 3 DVD's and 1 game for a total of $12.

charle [14.2K]

Answer: Cost of DVD is $2.95 and cost of games is $3.2.

Step-by-step explanation:

Let the cost of DVD be x

Let the cost of games be y

So, According to question,

$2x+3y=\$15.50\\\\and\\\\3x+1y=\$12.05$

Now, we will apply " Substitution Method " i.e.,

$2x=15.50-3y\\\\x=\frac{15.5-3y}{2}$

Put this value of x in second equation:

$3x+y=12.05\\\\3\times \frac{15.5-3y}{2}+y=12.05\\\\46.5-9y+2y=12.05\times 2\\\\46.5-7y=24.1\\\\46.5-24.1=7y\\\\22.4=7y\\\\\frac{22.4}{7}=y\\\\3.2=y$

Now, substitute the value of y in equation of x:

$x=\frac{15.5-3y}{2}\\\\x=\frac{15.5-3\times3.2}{2}\\\\x=\frac{15.5-9.6}{2}\\\\x=\frac{5.9}{2}\\\\x=2.95$

Hence, Cost of DVD is $2.95 and cost of games is $3.2.

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mars1129 [50]

Answer:

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Step-by-step explanation:

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