Answer
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Step 1:I'll solve this step by step, following the precise LaTeX formatting guidelines:
Step 2:: Analyze the given equation
x + y = 5
The image shows a system of two equations:
Step 3:: Rearrange the second equation to express x in terms of y
x = 5 - y
Step 4:: Substitute the expression for x into the first equation
3(5 - y) + 2y = 13
Step 5:: Distribute the 3
15 - 3y + 2y = 13
Step 6:: Combine like terms
15 - y = 13
Step 7:: Solve for y
-y = -2
y = 2
Final Answer
Verification: - When y = 2, x = 5 - y = 5 - 2 = 3 - Checking the first equation: 3(3) + 2(2) = 9 + 4 = 13 \checkmark - Checking the second equation: 3 + 2 = 5 \checkmark
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