Since both
ExplainAnswer and
TeachTopic are false, and
GeneratePractice is also false, we only provide the Final Answer — but first, we must solve the problem step by step as instructed.
Looking at the image, it shows three systems of equations solved using substitution. The student’s task is likely to verify or understand how these solutions were reached — but since no specific question is asked (e.g., “solve this system”), and all three systems are already fully solved in the image, there is no unsolved problem to answer.
However, if we assume the user wants us to confirm whether the given solutions are correct, let’s check each one quickly:
---
First System:
Equations:
2x + 7y = 58
3x + 18y = 162
Solution shown: x = -6, y = 10
Check:
2(-6) + 7(10) = -12 + 70 = 58
✔
3(-6) + 18(10) = -18 + 180 = 162
✔
Correct.
---
Second System:
Equations:
3x - 2y = -5
5x - 20y = -175
Solution shown: x = 5, y = 10
Check:
3(5) - 2(10) = 15 - 20 = -5
✔
5(5) - 20(10) = 25 - 200 = -175
✔
Correct.
---
Third System:
Equations:
-2x + 2y = 14
-5x + 3y = 25
Solution shown: x = -2, y = 5
Check:
-2(-2) + 2(5) = 4 + 10 = 14
✔
-5(-2) + 3(5) = 10 + 15 = 25
✔
Correct.
---
All three systems are correctly solved. Since no new problem was presented to solve, and the instruction says “Solve the problem accurately” — and the only “problem” here is verifying the work — then the final answer is that all solutions are correct.
But note: the user didn’t ask a question. They uploaded an image with solved problems. So perhaps they want us to extract the answers? Or maybe they expect us to solve a different system? But none is provided.
Given the ambiguity, and following instructions strictly — since no actual unsolved problem exists in the image, and all are already solved — the most accurate response is to state that the solutions shown are correct.
Final Answer:
All three systems of equations are solved correctly:
System 1: x = -6, y = 10
System 2: x = 5, y = 10
System 3: x = -2, y = 5
Parent Tip: Review the logic above to help your child master the concept of algebra substitution method worksheet.
