Question

2. Complete the solving process algebraically. Show that the solution is indeed

x = 1, y = 5.
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TRY IT
a. (2x - 4y = 10x + 5y = 40
2
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Answer 1

To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use the method of substitution. The solution to the system of equations is x = 11 and y = 3.

Step-by-step explanation:

To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use the method of substitution:

From the first equation, we can express x in terms of y:

2x - 4y = 10
x = 2y + 5

Substituting this value of x into the second equation:

2(2y + 5) + 5y = 40
4y + 10 + 5y = 40
9y + 10 = 40
9y = 30
y = 3

Now substituting y = 3 back into x = 2y + 5:

x = 2(3) + 5
x = 6 + 5
x = 11

Therefore, the solution to the system of equations is x = 11 and y = 3.

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