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Ymorist [56]
3 years ago
8

5x + 2y = -5 X + 3y = 1

Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

(-17/13, 10/13)

Step-by-step explanation:

Next time, please include more info regarding what you're supposed to do.  I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."

Multiply all three terms of the second equation by -5.  Then the system looks like:

5x + 2y =     -5

-5X + -15y = -5

Next, combine these two equations:

5x + 2y =     -5

-5X + -15y = -5

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

       -13y = -10

Dividing both sides by -13 yields y = 10/13.

Substituing 10/13 for y in the second equation, we get:

x + 3(10/13) = 1

Multiplying all three terms by 13 eliminates fractions:

13x + 30 = 13, or 13x  = -17.  Then x = -17/13, and the solution is

(-17/13, 10/13)

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2x+5y=4<br> 2x-2y=18<br> using the method of elimination
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Answer:

Equation Form:

x=7,y=−2

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(−1)⋅(2x+5y)=(−1)(4)

2x−2y=18

Simplify.

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2x−2y=18

Add the two equations together to eliminate x

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y=−2

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x=7

The solution to the independent system of equations can be represented as a point. (7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

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Step-by-step explanation:

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