MATHEMATICS HIGH SCHOOL

Solve 7x – 2y = –3
14x + y = 14 a. (4,5/7) b. (4,7/5)
c. (5/7,4) d. (7/5,4)

Answers

Answer 1

Answer:

The value of x " $(5)/(7)$ " and the value of y is "4".

Linear equation:

Given equation are:

$7x-2y=-3\n\n14x+y=14$

x,y=?

Let

$7x-2y=-3..........................(a)\n\n14x+y=14.........................(b)\n$

solve equation (a)

$\to 7x-2y=-3\n\n\to 7x=-3+2y\n\n\to x=(-3+2y)/(7)................(d)\n$

putting the value of x into equation (b):

$\to 14((-3+2y)/(7)) +y=14\n\n\to 2(-3+2y) +y=14\n\n\to -6+4y +y=14\n\n\to 5y=20\n\n\to y=(20)/(5)\n\n \to y=4$

Putting the value of y into the equation (d):

$\to x=(-3 +2(4))/(7)\n\n\to x=(-3 +8)/(7)\n\n\to x=(5)/(7)\n\n$

Therefore the final value of x is " $(5)/(7)$ " and y is "4".

Find out more information about Linear equations here:

brainly.com/question/322601

Answer 2

Answer:

Answer:

A. (4, 5/7)

Step-by-step explanation:

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Simplify. (-5.12) - (-4.7) + (7.021) 6.79 6.601 -2.799

Answers

Simplify. (-5.12) - (-4.7) + (7.021) 6.79 6.601 -2.799

Answer:

well, the other answer is wrong. the solution you want is 6.601

Step-by-step explanation:

use symbolab.com

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Find the inverse of each function1) g (x)= 3+(x-1)^3
4) f (x)=x^3+2
5) f (n)= 5 square root of (-n+1/2)

Answers

to find the inverse
1. replace f(x) or g(x) or f(n) with y
2. switch places of x and y
3. solve for y
4. replace y with f⁻¹(x) or g⁻¹(x) or f⁻¹(n)

1.
g(x)=3+(x-1)^3
replace
y=3+(x-1)^3
switch
x=3+(y-1)^3
solve
x=3+(y-1)^3
subtract 3
x-3=(y-1)^3
cube root both sides
$\sqrt[3]{x-3}$ =y-1
add 1
$\sqrt[3]{x-3}$ +1=y
switch y with g⁻¹(x)
g⁻¹(x)= $\sqrt[3]{x-3}$ +1

4. f(x)=x^3+2
replace with y
y=x^3+2
switch x and y
x=y^3+2
solve for y
x=y^3+2
subtract 2
x-2=y^3
cube roo both sides
$\sqrt[3]{x-2}$ =y
replace with f⁻¹(x)
f⁻¹(x)= $\sqrt[3]{x-2}$

5.
f(n)=5 $√(-n+1/2)$
replace
y=5 $√(-n+1/2)$
switch n and y
n=5 $√(-y+1/2)$
solve for y
n=5 $√(-y+1/2)$
divide both sides by 5
n/5=n= $√(-y+1/2)$
square both sides
$(n^2)/(25)$ =-y+1/2
subtract 1/2 from both sides
$(n^2)/(25)$ - $(1)/(2)$ =-y
multiply both sides by -1
- $(n^2)/(25)$ + $(1)/(2)$ =y
replace with f⁻¹(n)
f⁻¹(n)=- $(n^2)/(25)$ + $(1)/(2)$

1. g⁻¹(x)= $\sqrt[3]{x-3}$ +1
4. f⁻¹(x)= $\sqrt[3]{x-2}$
5. f⁻¹(n)=- $(n^2)/(25)$ + $(1)/(2)$

Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

Simplify Q + S - T.