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For all straight line equations as the one above, the equation is y=mx+c where: m is the gradient, c is the y-intercept. Thus from the arrangement of the given equation, gradient ...
2/5 = 8/20 3/4 = 15/20
8/20 + 15/20 = 23/20
23/20 = 1 and 3/20
I don't know how effectively I can communicate this answer via text without the whiteboard but I'll try.
i) First implicitly differentiate with respect to x: 2x + 2y * dy/dx = 0.
Rearranging...
2x+y-5=0, y=5-2x (put into second equation)
x2-y2=3, substituting in we get, x2-(5-2x)2=3, expand, x2-(25+4x2-20x)=3, simplify, xJSAnswered by Joshua S. • Maths tutor11467 Views
a + 3b = 12, a = 12 - 3b
3(12-3b) + b = 20
36-9b + b = 20
36-8b = 20
8b = 16
b = 2
2a + 12 = 24
2a = 12
a = 6
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