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PLEASE HELP ME WITH THE PROBLEM ASAP

PLEASE HELP ME WITH THE PROBLEM ASAP-example-1

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To solve the system of equations:

1. Start by setting the two equations equal to each other:

y = 2x - 1

y = 5 - x

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

2x - 1 = 5 - x

3. Simplify the equation by combining like terms:

2x + x = 5 + 1

3x = 6

4. Divide both sides of the equation by 3 to solve for x:

x = 2

5. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:

y = 2(2) - 1

y = 4 - 1

y = 3

Therefore, the solution to the system of equations is x = 2 and y = 3.

Now, let's graph the equation y = 5 - x:

To graph the equation, we can create a table of values by choosing different values for x and calculating the corresponding values of y. Here are some points that lie on the graph:

x | y

-----

0 | 5

1 | 4

2 | 3

3 | 2

4 | 1

Plot these points on a coordinate plane and connect them to form a straight line. The graph of y = 5 - x will have a negative slope of -1 and intersect the y-axis at 5.

I hope this helps! Let me know if you have any further questions.

User Outcoldman
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