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2 years ago

7

Solve the system of equations - 6x + 5y = 0 and -5x + 5y = -5 by combining

1 answer:

Anna [14]2 years ago

7 0

9514 1404 393

Answer:

(x, y) = (-5, -6)

Step-by-step explanation:

The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.

(-5x +5y) -(-6x +5y) = (-5) -(0)

x = -5 . . . . . . simplify

-6(-5) +5y = 0 . . . . . . substitute x into the first equation

6 +y = 0 . . . . . . . . . . divide by 5

y = -6 . . . . . . subtract 6

The solution to the system of equations is (x, y) = (-5, -6).

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Marina86 [1]

Answer:

<h3>The reason which is incorrect is in Step 2 and reason 2</h3>

Step-by-step explanation:

Given that Logan's equation is $\frac{3}{2}\times (x-10)=50$

<h3>To simplify and find the which reason is incorrect :</h3>

Logan's solution and reasoning for solving an equation are shown below:

Step1 $\frac{3}{2}\times (x-10)=50$

Reason 1: Given

Step2 $\frac{3}{2}\times x-10+10=50+10$

Reason 2: Addition Property of Equality

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Reason 4: Division Property of Equality

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Reason 5: Simplify

<h3>The reason which is incorrect is in Step 2 and reason 2</h3><h3>The corrected steps are</h3>

Step1 $\frac{3}{2}\times (x-10)=50$

Reason 1: Given

Step2 $\frac{3}{2}\times (x)-\frac{3}{2}\times (10)=50$

Reason 2: Distributive property

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Reason 3: Simplify

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Reason 4: Addition Property of Equality

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Reason 5: Simplify

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Reason 6: Division Property of Equality

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Reason 7: Simplify

<h3 />

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steps by-step explanation:

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