Answer:
1.not 2×4 is 2+4 answer should be 6x⁶
2.not 3+4 is 3×4 answer should be 12a⁷
3.miss 1 should x^(6+1+3) should be x¹⁰
4.base different, and just become 81×8=648
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Answer:</h3>
2xy
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Step-by-step explanation:</h3>
GCF stands for the greatest common factor.
Finding All Factors
To find the GCF you need to find the factors of each term. First, find the factors of the coefficients.
- The factors of 18 include: 1, 2, 3, 6, 9 and 18
- The factors of 32 include: 1, 2, 4, 8, 16, and 32
Next, lay out the variables that are factors.
- The variables of 18xy are x and y.
- The variables of 32xyz are x, y, and z.
Remember that variables count as factors
Greatest Common Factor
Now that we have all of the factors we can find the GCF. The GCF will be the largest number and the most variables that are a factor of both terms.
In this case, the largest factor of 18 and 32 is 2. Since both x and y are factors of both terms, the GCF is 2xy.
I would solve the first equation for x and then sub that value into x in the second equation. That's the easiest way. x - 2y = 3 solved for x is x = 2y+3. Now sub that in for x in the second equation: 5(2y+3)+3y=2 and 10y + 15 + 3y = 2. 13y = -13, and y = -1. Now sub that y value into either equation to solve for x: x = 2(-1) + 3 gives us an x value of x = 1. Therefore, your solution to this system is (1, -1), first choice above.
