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Find the values of x when 6x+y=10 and y=x squared-3x+10

User Hopstream
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Answer:

x = 0 OR x = - 3

Explanation:

re-arrange formula to make y the subject:

y = 10-6x and y = x^2 - 3x + 10

sub in values of y:

10 - 6x = x^2 - 3x + 10

re-arrange to write in terms of quadratic formula:

x^2 - 3x + 6x + 10 - 10 = 0

x^2 + 3x + 0 = 0

A B C

use factorisation or quadratic formula (screenshot given) to come to the solution:

(x+0)(x + 3) or (x)(x+3)

x= +/- 0 OR x = -3

Hope this helps :)

Find the values of x when 6x+y=10 and y=x squared-3x+10-example-1
User Wjamyers
by
7.1k points

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