All categories

2 years ago

Steps to solving y=2x+3 x=y-8

1 answer:

3 0

First, plug in x=y-8 to y=2x+3
Next, it would be y=2(y-8)+3
Then, you need to distribute: y= 2y-16+3
After that, move 2y to the other side: -y= -13 (notice I also did -16+3)
Finally, divide negatives into both sides: y=13

Now to find x just plug in 13 to either of the equations: 13=2x+3
Then solve: x=5
So the FINAL answer is: (5,13)
Hope this helps!!!!!!!

You might be interested in

If you are paid a weekly base salary of $200 plus an hourly wage of $5.00, determine an equation for finding your weekly gross p

kompoz [17]

To make an equation for this find the variables (P and t and 200). Them plug the into an equation like y=mx+b.

4 0

3 years ago

Help me please in part “A” and part “B”

Alla [95]

Part A:
The two expressions are equal because in the second expression all they did was move the decimal over one place to make it so both numbers had the same exponent value.
Part B:
The second expression takes less steps to solve because you can simply subtract the two numbers.
0.14-2.83 = -2.69
-2.69*10^4

4 0

3 years ago

If 75% is £45 what is the full cost?

dimulka [17.4K]

ANSWER: 60

75/100 = 3/4

45 divided by 3 is 15
15 multiplied by 4 is 50 (=4/4 = 100%)

6 0

2 years ago

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performa

ss7ja [257]

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

5 0

2 years ago

When x increases from a to a +2, y increases by a factor of 1/4

Troyanec [42]

Answer:

y=7* (0.5)^x

Step-by-step explanation:

We are given that when x increases from 'a' to 'a+2' then y must increase by a factor of 1/4=0.25.

i.e. when x=a and x'=a+2.

then y/y=0.25 where y' is the function after putting x' to the old function.

8 0

2 years ago