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3y - x = 12 (1)y + 2x = -3 (2)multiply equation (2) by 3: 3y + 6x = -9 (3)subtract equation (1) from equation (3): 3y + 6x - 3y + x = -9 -12 7x = -21 x = -3substitute x into equation (2): y -6 = -3 y = 3a...

Firstly, we need to add up how many 'parts' this money is being split into by adding the ratio, 3+4+1 = 8 parts. Now we need to calculate how much one part is equal to by splitting our £300 into the 8 par...

Multiply the first terms in both brackets:2xx= 2x²
Next multiply the first term of the first bracket and the second term of the second bracket:2x-5= -10x
Multiply...

They both start with 20 sweets. To get the total number of sweets that Jack has, you need to take away x because that is the amount that he gives to will. Jack then eats 5 of his sweets so you need to tak...

Together, the total number of balls is 420. 2/7 of the total 420 balls are violet. Therefore the number of violet balls can be calculated by the equation 2/7 x 420/1 = 840/7=120. There are 120 vio...