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Line AB has the equation 3x + 5y = 7. Find the gradient of Line AB.

Rearrange equation into the form: y = mx + c m = gradient 3x + 5y = 7 5y = -3x + 7 y = (-3/5)x + (7/5) gradient = (-3/5)
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Answered by Aaquib N. • Maths tutor
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Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

1) 2x + 3y = 6 2) 3x + 2y = 5 We can either use substitution or elimination. Using elimination: Multiply equation 1) by 3 and multiply equation 2) by 2. 1) 6x + 9y = 18 2) 6x + 4y = 10 Equation 1) - Equation...
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Answered by Aaquib N. • Maths tutor
18399 Views

Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?

6x+4y=16, 6x+15y=-6 11y=-22 y=-2 3x=8+4=12 x=4 x=4, y=-2
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Answered by Thomas E. • Maths tutor
15064 Views

Find the equation of the tangent to the curve y = 2 ln(2e - x) at the point on the curve where x = e.

The first step is to find the y coordinate at the point on the curve where x = e. To do this we subsitute x = e into the equation of the curve, so y = 2ln(2e - x) becomes y = 2ln(2e - e). Simplifying this, w...
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Answered by Rhiannon T. • Maths tutor
11104 Views

Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

SInce the question requires simplified surd form, it makes sense to use the quadratic formula immediately for this question. This would give us x = 6 [+-] squareroot(36-(4x1x-2)) / 2 which simplifies to x= 6...
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Answered by Molly B. • Maths tutor
13977 Views