Mathematics: Gregory patrick s employer will pay $550 per year for his health insurance. what ammount will they pay per month?

Gregory patrick s employer will pay $550 per - id550680253, sanchezgirl513

Ответ:

tradee001

08.06.2020

Mathematics

The solution is x=3 , y=-4 or (3,-4)

Step-by-step explanation:

Given equations (1 and 2) are:

$3x- 2y = 17\\-2x -5y = 14$

To solve a system of equation with elimination method, the co-efficients of one of the variables has to be equated and then the equations are added or subtracted to get an equation in one variable.

Multiplying equation 1 by 2:

$2(3x-2y) = 2*17\\6x-4y = 34\ \ \ \ \ Eqn\ 3$

Multiplying equation 2 by 3

$3(-2x-5y) = 3*14\\-6x-15y = 42\ \ \ \ Eqn\ 4$

Adding equation 3 and 4

$(6x-4y) + (-6x-15y) = 34+42\\6x-4y-6x-15y = 76\\-19y = 76\\\frac{-19y}{-19} = \frac{76}{-19}\\y = -4\\$

Putting y = -4 in equation 1

$3x-2(-4) = 17\\3x+8 = 17\\3x = 17-8\\3x = 9\\\frac{3x}{3} = \frac{9}{3}\\x = 3$

Hence,

The solution is x=3 , y=-4 or (3,-4)

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Gregory patrick's employer will pay $550 per year for his health insurance. what ammount will they pay per month?

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