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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 fina...
SS
Answered by Sorcha S. • Maths tutor
3070 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
3827 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 243cm 2 . 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
3966 Views

How do you solve algebraic equations?

The aim of solving an algebraic equation (such as x 2 =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 help you find the ans...
MB
Answered by Mercedes B. • Maths tutor
4097 Views

Solve the equation 6x^2 + 17x - 39 = 0

Using the quadratic equation with a = 6, b = 17 and c = -39, x is found to be 1.5 or -4.33
SE
Answered by Sian E. • Maths tutor
4631 Views