It is 3 terms of an algebraic expression
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6x - 27xy= 3x(2 - 9y)=========
1. 6x - 5y = 22 2. 5x - 9y = -1 1 times 5: 30x - 25y = 110 2 times 6: 30x - 54y = -6 Subtract : 29y = 116, so y = 4 and x therefore = 7
There are at least two algebraic ways. The simple way is to put x = 0 and solve: Thus: -6*0 -9y = -3 that is -9y = -3 or 9y = 3 so that y = 1/3 Rewrite the equation in slope-intercept form (y = mx + c). Thus: -9y = 6x - 3 So that y = -2/3*x + 1/3 and so c = intercept 1/3 The non-algebraic way is to draw the graph and read off the value of the intercept.
9y**2-25yz-6z**2Multiply first and last terms9*-6=-54Find factors of -542,-27 = 2+-27=-25-2,27 = -2+27=25Rewrite9y**2-27zy+2zy-6z**2Factor pairs of terms9y**2-27zy = 9y(y-3z)2zy-6z**2= 2z(y-3z)9y**2-27zy+2zy-6z**2= 9y(y-3z)+2z(y-3z)Factor:9y(y-3z)+2z(y-3z) = (y-3z)(9y+2z)
The question asks for a function of 'y', so we'll show 'x' as a function of 'y':Given: 8x - 9y = 2Add 9y to each side:8x = 2 + 9yDivide each side by 8:x = 2/8 + 9y/8orx = 1/8 (2 + 9y).==================================================If the questioner actually wants to see it in the more familiar form of [ y = a function of x ],we can massage the original equation around to show that as well.Given: 8x - 9y = 2Subtract 8x from each side:-9y = 2 - 8xMultiply each side by -1:9y = 8x - 2Divide each side by 9:y = 8x/9 - 2/9ory = 1/9 (8x - 2)