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2x-9y=26 6x-2y=-22
2x2 solving system of equations

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Answer:

To solve the system of equations:

2x - 9y = 26 ...(1)

6x - 2y = -22 ...(2)

We can use the method of substitution or elimination. Let's use the substitution method in this case.

Step 1: Solve one equation for one variable in terms of the other variable. Let's solve equation (1) for x:

2x = 9y + 26

x = (9y + 26)/2

Step 2: Substitute the expression for x from step 1 into equation (2):

6((9y + 26)/2) - 2y = -22

Simplify the equation:

3(9y + 26) - 2y = -22

27y + 78 - 2y = -22

25y + 78 = -22

25y = -22 - 78

25y = -100

y = -100/25

y = -4

Step 3: Substitute the value of y into equation (1) to find x:

2x - 9(-4) = 26

2x + 36 = 26

2x = 26 - 36

2x = -10

x = -10/2

x = -5

So, the solution to the system of equations is x = -5 and y = -4.

Keep in mind that this is just one possible method for solving the system of equations. There are other methods like graphing or using matrices, but substitution is often a straightforward approach.

User Robinkc
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