Q. Is (1,1) a solution to this system of equations?8x+y=96x+12y=18Choices:(A)yes(B)no
Check First Equation: question_prompt: Is the point (1,1) a solution to the given system of equations?
Verify First Equation: Let's plug in x=1 and y=1 into the first equation, 8x+y=9. So we get 8×1+1=9.
Check Second Equation: Doing the math, 8+1 equals 9, which is correct. So (1,1) works for the first equation.
Verify Second Equation: Now let's try x=1 and y=1 in the second equation, 6x+12y=18. We get 6⋅1+12⋅1=18.
Confirm Solution: After calculating, 6+12 is 18, which is also right. So (1,1) fits the second equation too.
Confirm Solution: After calculating, 6+12 is 18, which is also right. So (1,1) fits the second equation too. Since (1,1) satisfies both equations, it's a solution to the system.
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