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Find the value of x that satisfies the following equation: (3x + 2)/2 = 6x + 4

Step 1: Eliminate fractions => Multiply everything by 23x + 2 = 12x + 8 Step 2: Collect like-terms with all of the xs on one side => 9x = -6 Step 3: Divide through to find the answer in terms of x...

Answered by Jacob P. • Maths tutor

3047 Views

I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?

The way I would suggest approaching a question like this is to imagine n=1, n=2, n=3 and n=4 above the terms given, or even to literally write that above each of the 4 given numbers. n ---------- 1 2 3 4r...

Answered by William S. • Maths tutor

10712 Views

Solve: 1/3 x = 1/2 x + (− 4)

(1/3)x=(1/2)x+(-4) (1/3)x=(1/2)x-4(1/3)x - (1/2x) = -4 (1/3)(x/1) - (1/2x)(x/1) = -4. => x/3 - x/2 = -4Find common denominator: here 62x/6 - 3x/6 = -4-x/6 = -4 -x = -24x = 24 Check:

Answered by Iulia B. • Maths tutor

2363 Views

√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.
Begin by expansion (√a x √b = √ab): √3 x √30 = √90 and √3 x √8 = √24. Therfore we have: √90 + √24. Simplify roots (√a^2√b). The question tells us we need x√10 so therefore √90 = √9√10 (9x10 = 90) and we n...
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Answered by Holden D. • Maths tutor
3821 Views

Simplify the following expression fully: 8x + y - 6y − 5x
8x + y - 6y - 5x= 8x - 5x + y - 6y= 3x - 5y

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Answered by Patrick C. • Maths tutor
3131 Views

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Find the value of x that satisfies the following equation: (3x + 2)/2 = 6x + 4

I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?

Solve: 1/3 x = 1/2 x + (− 4)

√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.

Simplify the following expression fully: 8x + y - 6y − 5x

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