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Maths
GCSE

How do I solve a sum of equations with unknowns in the denominator?

First, you need to make sure that each equation has a common denominator. You do this by multiplying the numerators of each equation with the denominators of the others. This allows you to form one algebr...

KH
Answered by Kai H. Maths tutor
2649 Views

Solve algebraically for a and b: 6a+b=16, 5a-2b=19

Multiply equation 1) by 2 : 12a+2b=32. There are alternate signs of b and so therefore add the equations together: 17a=51. Solve for a: a=3. Sub a into one of the equations to find b: 5*3-2b=19b=-2. The f...

SS
Answered by Sorcha S. Maths tutor
2493 Views

Expand and simplify (6x + 10)(3x - 2)

Expand by multiplying out the brackets (using crab claws or similar method): 18x^2 + 30x - 12x -20Simplify by combining like terms: 18x^2 + 18x -20

GC
Answered by Grace C. Maths tutor
3095 Views

The perimeter of a right-angled triangle is 81 cm. The lengths of its sides are in the ratio 2 : 3 : 4. Work out the area of the triangle.

Answer is 243cm2. 2+3+4 = 981/9 = 9Non-hypotenuse sides of triangle are therefore length (9x2=18) and (9x3=27)Area of triangle is (18x27)/2 = 243

CA
Answered by Casey A. Maths tutor
3103 Views

How do you solve algebraic equations?

The aim of solving an algebraic equation (such as x2=4(x-3)2 ) is to find the values of x which make the equation correct. There are easy steps to follow for every question which can...

MB
Answered by Mercedes B. Maths tutor
3358 Views

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