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6x + 2y = 22, 2x + y = 8. Find x and y.

Times second equation by 2.6x + 2y = 22 4x + 2y = 16Cancel the y's to gain equation of just x's. 6x + 2y =22 4x + 2y = 16 - ------------------- 2x = 6 ; x = 3Substitute x into an equation.(2×3) + y = 8y = 8-...
JO
Answered by Jacob O. • Maths tutor
3651 Views

How can you factorise quadratics with a an x^2 coefficient higher than one?

If we take an example question such as 20x 2 - 130 x = -20020x 2 - 130 x = -200 Divide by 10 to simplify2x 2 - 13x = -20 Take all of the terms to the left2x 2 - 13x +20 = 0 Now use this technique. Multiply a...
VT
Answered by Vahgisha T. • Maths tutor
2858 Views

Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).

Differentiating the equation for x with respect to t, we get: dx/dt=2Sqrt(3)cos(2t);Take the reciprocal of dx/dt to get dt/dx=1/[2Sqrt(3)cos(2t)]Using a trigonometric identity on the equation for y, we get: ...
PC
Answered by Peter C. • Maths tutor
5387 Views

John bought 7 bags of cement and 3 bags of gravel with the total weight of 215kgs. Shona bought 5 bags of cement and 4 bags of gravel with the total weight of 200kgs. How much does 1 bag of cement weigh and how much does 1 bag of gravel weigh?

Step 1: Write down the information we got in a simplified form =&gt; cement (c) .... 7 bags .... 5 bags, gravel (g) ...... 3 bags .... 4 bags, total weight .. 215kgs ... 200kgs ... Step 2: Transfer into 2 eq...
JV
Answered by Jana V. • Maths tutor
7779 Views

Find x in: 2(x-2) = 3x+9

2(x-2) = 3x+9LHS = RHS2x-4 = 3x+92x-3x = 9+4-x = 13x = -13
FO
Answered by Folorunso O. • Maths tutor
2734 Views