3x + 2y =4 and 4x - 17 = 5y. Solve the simultaneous equations.

  1. write out each equation one underneath the other so that the x’s are in one column and the y’s are in another.2) we also need to make sure that the numbers are also aligned up3) for 4x - 17 = 5y, we can add 17 to both sides of the equation. That leaves us with 4x = 5y + 17.4) now, we need to minus 5y from both sides. That leaves us with 4x - 5y =175) we need to get either of the coefficients (numbers in front of the x and y) the same in both equations. for example, we can choose to make both the x’s the same. To do that, we can multiply (3x + 2y = 4) by 4 and (4x - 17 = 5y) by 3.that gives us 12x

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There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue.


HIGHER TIER a) Factorise the following equation into two bracket form: 2x^2-5x-12. b)2x^2-5x-12=0. Solve this equation to find the values of x, using your answer to part a). BONUS c) Sketch the function y=2x^2-5x-12, showing any x intercepts


There are n sweets in a bag. 6 of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag and eats it. Hannah then takes at another sweet. The probability that Hannah eats two orange sweets is 1/3. Show that n²-n-90=0