What is the solution to the system of linear equations? 2x + y =7. x- 2y = 16

ANSWER

(6,-5)

EXPLANATION

The given system has equations:

2x + y =7...(1)

x- 2y = 16...(2)

We multiply equation (1) by 2 to get,

4x+2y=14...(3)

We add equations (2) and (3) to obtain,

4x+x+2y-2y=14+16

This implies that,

5x= 30

Divide both sides by 5,

x=6

We substitute x=6 into equation (1) to get,

2(6) +y=7

12+y=7

y=7-12

y=-5

The solution is (6,-5)

the bolded word " farsighted" could be replaced with visionary.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: