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Solve the system of equations using the graphing or substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=2x−4𝑦=2𝑥−4y=4x−6𝑦=4𝑥−6Solution:

Question

Solve the system of equations using the graphing or substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.y=2x−4𝑦=2𝑥−4y=4x−6𝑦=4𝑥−6Solution:

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Solution 1

To solve the system of equations using the substitution method, we first set the two equations equal to each other because they both equal y:

2x - 4 = 4x - 6

Next, we solve for x:

2x = 4x - 6 + 4 2x = 4x - 2 2x - 4x = -2 -2x = -2 x = 1

Then we substitute x = 1 into the first equation to solve for y:

y = 2(1) - 4 y = 2 - 4 y = -2

So the solution to the system of equations is (1,-2).

Solution 2

To solve the system of equations using the substitution method, we first set the two equations equal to each other because they both equal y:

2x - 4 = 4x - 6

Next, we solve for x:

2x = 4x - 6 + 4 2x = 4x - 2 2x - 4x = -2 -2x = -2 x = 1

Then, we substitute x = 1 into the first equation to solve for y:

y = 2(1) - 4 y = 2 - 4 y = -2

So, the solution to the system of equations is (1,-2).

Solution 3

Step 1: Write down the given equations:

y = 2x - 4 y = 4x - 6

Step 2: Since both equations are equal to y, we can set them equal to each other:

2x - 4 = 4x - 6

Step 3: Solve for x:

Subtract 2x from both sides to get 2x = -2 Divide both sides by 2 to get x = -1

Step 4: Substitute x = -1 into the first equation to solve for y:

y = 2(-1) - 4 = -2 - 4 = -6

So, the solution to the system of equations is (-1,-6).

This problem has been solved

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