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2 years ago

5

Ssignment-make sure I can open it.

1 answer:

bezimeni [28]2 years ago

4 0

2(2)2= 8 + 3(2)2=12 - 11(2)= 22 - 6 and 8 + 12 - 22- 6 = -8

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3x – 2y = 17 <br> –2x – 5y = 14 <br> Solve using Elimination Please show work

OleMash [197]

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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

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Hence,

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

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