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Solve 5x - 7 = 3x + 2, to find the value of x

x = 4.5 Rearrange the equation, so that like terms are on the same side: 5x - 3x = 2 +7 2x = 9 Then to find x, divide 9 by 2 x = 4.5
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Answered by Suzy A. Maths tutor
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Solve the inequality 3x ≤ 4x+5

So I would begin by minusing 5 from both sides and that will give you 3x - 5 ≤ 4x. Then we want to gather our x's onto one side, so I would '-3x' from both sides which leaves you with - 5 ≤ 4x - 3 x, so you ...
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Answered by Reni A. Maths tutor
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Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

Firstly we must appreciate that if there is an intersection between l and m, this means that there exists a point that occurs on both lines. Therefore if there is an intersection, it is when l = m .So we mus...
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Answered by Harry D. Maths tutor
8371 Views

Solve this equation; 5x - 4 = 3x + 7

In order to solve equations of x it is necessary to move all the Xs over to one side and the other numbers over to the other side; 5x - 4 = 3x + 7 As 5x is greater than 3x it makes sense to subtract 3x from ...
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Answered by Kate E. Maths tutor
15113 Views

Insert one pair of brackets so that this calculation is correct; 3 x 6 + 5 - 1 = 32

3 x 6 + 5 - 1 = 32 Without any brackets the answer to the calculation would be 22 following the rules of BIDMAS (Brackets, Indices, Division, Multiplication, Addition, Subtraction) Therefore to make the calc...
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Answered by Kate E. Maths tutor
15551 Views