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Please provide step-by-step instructions on how to resolve this issue

Please provide step-by-step instructions on how to resolve this issue-example-1
User Strix
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2 Answers

2 votes

Answer: 0 6

Explanation:


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User Mark Birbeck
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7.9k points
4 votes

Answer:

Explanation:

1. One way to use substitution to solve this problem is to substitute the expression for Y from the second equation into the first equation. This gives:

X = 3Y - 7

X = 3(X + 1) - 7

We can simplify the second equation by distributing the 3:

X = 3X + 3 - 7

Then we can combine like terms:

X - 3X = -4

Solving for X, we get:

-2X = -4

X = 2

Now we can substitute this value for X into either equation to solve for Y. Using the second equation:

Y = X + 1

Y = 2 + 1

Y = 3

So the solution to the system of equations is X = 2 and Y = 3.

2. Substituting 3X - 7 for X in the first equation, we get:

X = 3Y - 7

(3X - 7) = 3Y - 7

We can simplify by adding 7 to both sides:

3X = 3Y

Then we can divide both sides by 3:

X = Y

Now we can substitute this expression for X into either equation to solve for Y. Using the second equation:

Y = X + 1

Y = Y + 1

Subtracting Y from both sides, we get:

0 = 1

This is a contradiction, so there is no solution to the system of equations when we substitute 3X - 7 for X.

3. To find the solutions to the system of equations:

X = 3Y - 7 (equation 1)

Y = X + 1 (equation 2)

We can use substitution. From equation 2, we can express X in terms of Y:

X = Y - 1

Substituting this into equation 1, we get:

Y - 1 = 3Y - 7

Simplifying the equation, we get:

2Y = 6

Dividing both sides by 2, we get:

Y = 3

Now we can substitute this value for Y into either equation to solve for X. Using equation 2:

Y = X + 1

3 = X + 1

Subtracting 1 from both sides, we get:

X = 2

Therefore, the solution to the system of equations is X = 2 and Y = 3.

User JazzBrotha
by
6.9k points

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