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 correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

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step-by-step explanation: