Solving for systems:
{y=3x+7 & y=5x-7

Answers

Answer 1

Answer: $\left\{\begin{array}{ccc}y=3x+7\ny=5x-7\end{array}\right\n\nsubstitute:\n\n5x-7=3x+7\n5x-3x=7+7\n2x=14\ \ \ \ /:2\nx=7\n\ny=3\cdot7+7=21+7=28\n\nAnswer:x=7\ and\ y=28.$

Answer 2

Answer: y = 3x + 7
y = 5x-7

Now, we know that y = y

thus,

3x + 7 = 5x-7
3x - 5x = -7 -7

= -2x = -14

thus, -x = -14/-2

thus, x = 7.

Substituting for y,

y = 3x + 7
= 3 x 7 + 7

= 28.

Thus, x = 7, y =28

Related Questions

How do you show the work for 1162 divided by 4
I have no idea how to do this: Slope= -3, y-intercept= -1 its slope-intercept formSlope= -2, y-intercept= -4Through: (-3,2) , slope=-1/3Through: (3,2) and (0,-5)x-5y-5=0
Alana and her friends decided to have a water fight on a hot summer day. They filled a bunch of water balloons and started the fight at 12:20 P.M. The water balloons lasted for 25 minutes. When all the water balloons were gone, they sprayed water with hoses for 55 minutes, until Alana's dad showed up with ice cream. What time was it when the water fight ended?
If 5 people share 1/2 pound of trail mix how much would each person get ?
Mr.Planter wants to have the largest piece of cake he can. Should he slice his cake into thirds or fourths? Which would result in a larger piece? Explain

(2,10) as equation of direct variation

Answers

direct variation is
y=kx
(x,y)
(2,10)
10=k2
divide 2
5=k

equation is
y=5x

Divide the number of days in November by the number of week days write your answer in the ones place

Answers

Days in November ÷ number of weekdays
30 ÷ 5
6

30 days are in November. By week days i assume you mean work days (mon-fri). 4 weeks in November, 5 days per work week 5x4=20. So 20 goes into 30 (in other works 30 divided by 20) is 1.5. The answer is 1.5.

i need help with a math problem it says solve for t: -3(t - 2) + 7t=9t-9 can you show all the work please

Answers

Answer:

t = 3

Step-by-step explanation:

Given

- 3 (t - 2) + 7t = 9t - 9 ← distribute left side and simplify

- 3t + 6 + 7t = 9t - 9

4t + 6 = 9t - 9 ( subtract 9t from both sides )

- 5t + 6 = - 9 ( subtract 6 from both sides )

- 5t = - 15 ( divide both sides by - 5 )

t = 3

Answer:

t = 3.

Step-by-step explanation:

-3(t - 2) + 7t = 9t - 9 Distribute the -3 over the parentheses:

-3t + 6 + 7t = 9t - 9 Subtract 9t from both sides:

-3t - 9t + 7t + 6 = -9 Subtract 6 from both sides:

-3t - 9t + 7t = -9 - 6

-5t = -15

t = -15/-5

t = 3 (answer).

How do I do this please show your work

Answers

g + 2g = 3g

r - 4r = -3r

If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 years?$68.39
$704.28
$842.13
$846.10