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Solve the equations x-y=1 and 5x-3y=13

These equations are what we call 'simultaneous' which means they are solved together. To do this, we need to make one of the variables (x or y) the subject of either of the equations.Rearranging the first...

Answered by Christopher K. Maths tutor
3814 Views

Solve x^2 + 7x + 6 = 0

ax2 + bx + c
1) First factorise the quadratic equationTwo numbers whose product is 'c' and sum is 'b'In this question, c= 6 and b= 76 x 1 = 6 and 6 + 1 = 7So your two numbers are 6 and 1--...

Answered by Natasha W. Maths tutor
3171 Views

There are 6 orange sweets and n total sweets in a bag. The probability of picking two sweets one at a time randomly and both being orange is 1/3. Show that n^2 - n - 90 = 0

Don't panic, focus on what you do know.You know 6/n * 5/(n-1) = 1/3or 30/(n^2-n) = 1/3simplify this to reach the target expression.

Answered by Hussain A. Maths tutor
2201 Views

Factorise a^2 - 5a – 14.

Step 1: (a )(a )Step 2: identify numbers that can multiply to 14: 1 & 14, 7 & 2Step 3: Identify which pair of numbers add together to make -5: 2 - 7 = -5<...

Answered by Jasmine C. Maths tutor
2940 Views

Solve the folllowing quadratic equation: y=x^2+x-6

y=x2+x-6x= (-b+/- sqrt(b2-4ac))/2a<...

Answered by Eashan H. Maths tutor
2908 Views

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