MATHEMATICS HIGH SCHOOL

Which ondered pair is the solution to this system of equations? y=x+4 x+y=2 (1) (1,5) (2) (0,2) (3)(-1,3) (4)(-4,0)

Answers

Answer 1

Answer:

Solve the following system:

{y = x + 4 | (equation 1)

y + x = 2 | (equation 2)

Express the system in standard form:

{-x + y = 4 | (equation 1)

x + y = 2 | (equation 2)

Add equation 1 to equation 2:

{-x + y = 4 | (equation 1)

0 x + 2 y = 6 | (equation 2)

Divide equation 2 by 2:

{-x + y = 4 | (equation 1)

0 x + y = 3 | (equation 2)

Subtract equation 2 from equation 1:

{-x + 0 y = 1 | (equation 1)

0 x + y = 3 | (equation 2)

Multiply equation 1 by -1:

{x + 0 y = -1 | (equation 1)

0 x + y = 3 | (equation 2)

Answer: x = -1 y = 3

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Solve the equation for t

t-(7-3t) +5=2t+10

Answers

$t-(7-3t)+5=2t+10\ \ \ \ \ | omit\ the\ bracket\n\nt-7+3t+5=2t+10\n\n4t-2=2t+10\ \ \ | subtract\ 2t\n\n2t-2=10\ \ \ | add\ 2\n\n2t=12\ \ \ \ | divide\ by\ 2\n\nt=6$

t-(7-3t)+5=2t+10
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1 $(1)/(3)$ =t

How do I make a formula for a line if they only give me the intercept and the slope

Answers

Well what you want is y = mx + b
m = slope
b = intercept for y
with that just substitute in the slope and the intercept, but leave the x and y as it is. So later on you can put in a x coordinate and get the y coordinate through that, hope this helps!

Answer:

Graph

Write in Standard Form

Write in y=mx+b Form

Solve the Function Operation

Write in Slope-Intercept Form

Find the Exact Value

Evaluate the Function

Find the Equation Using Slope-Intercept Form

Simplify

Find the Probability P()

Multiply the Expressions

Use a Table of Values to Graph the Equation

Step-by-step explanation:

2x-17x+15=0 solve for x

Answers

Answer:

x=1

Step-by-step explanation:

2x-17x+15=0

Combine like terms

-15x +15 = 0

Add 15x to each side

-15x+15x+15=0+15x

15 = 15x

Divide by 15

15/15 = 15x/15

1 =x

Answer:

x=1

Step-by-step explanation:

x=1 because you need to isolate the variable by dividing each side factors that don't have a variable.

Does the point (2,3) lie on the line y=3/4x-2

Answers

No.

If you substitute x with 2 and y with 3, it doesn't equal meaning its not a point.

a jar of cookies contains 18 different types of cookies. Each type is equally likely to be chosen. Based on your simulation, how many times must a cookie be chosen in order to get each type?