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4 years ago

What is the solution to the following system of equations? 4x + 2y = 12 x − y = 3 (3, 0) (0, 3) (0, −3) (2, 3)

Mathematics

1 answer:

babymother [125]4 years ago

8 0

Answer: First Option

(3, 0)

Step-by-step explanation:

We have the following system of equations:

$4x + 2y = 12$

$x - y = 3$

To find the solution of the system of linear equations multiply the second equation by -4 and add it to the first equation

$4x + 2y = 12$

$-4x +4y = -12$

--------------------------------------

$0+6y=0$

$y=0$

Now substitute the value of y in the first or second equation:

$x - 0 = 3$

$x = 3$

The solution is: (3, 0)

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kirza4 [7]

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3 years ago

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Need explanation 20 points The function f is such that f(x) = 2x - 6 Find f^-1(x)

Dvinal [7]

HEYA! <3

Explanation :

GIVEN :

f(x) = 2x - 6

TO FIND :

Inverse of f(x) i.e $f ^{ - 1} (x)$

SOLUTION :

FOLLOW THESE THREE STEPS :

LET Y = f(x)

$\longrightarrow \tt{y = 2x - 6}$

$\longrightarrow{ \tt{ \: 2x - 6 = y}}$

MAKE X A SINGLE TERM IN LHS SIDE

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$\longrightarrow{ \tt{x = \frac{y + 6}{2} }}$

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$\longrightarrow{ \tt{y = \frac{x + 6}{2} }}$

Hence ,

$\boxed{ \boxed{ {f}^{ - 1} (x) = \sf{ \bold{ \frac{x + 6}{2} }}}}$

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