Solve for Y algebraically. 4X + 8Y = 16 8Y = - 4X + 16 Y = - 1/2X + 2 graph and see that the Y intercept = 2
2x = -7 - 8y
First, solve the equation for y. 4x * 8y = 10 2x * 4y = 5 4y = 5/(2x) y = 5/(16x) Now it is apparent that the slope of the graph is 5/16, so anything else with such a slope works. y = 5/(16x) + 1 works, for example.
-16
5y - 4 + 3y = 12 Combine like terms: 8y - 4 = 12 Add 4 to both sides: 8y = 16 Divide both sides by 8: y = 2
(2xy-4x)+ (8y-16)=2xy-4x+8y-16, which factors as 2(x+4)(y-2)
( 2xy - 4x ) + ( 8y - 16)2 ( xy - 2x ) + 2 ( 4y - 8 ) Answer
2xy - 4x plus 8y - 16 equals x plus 4 in parentheses multiplied by 2y minus 4 in parentheses. So, the factors are ( x + 4) and ( 2y - 4) .
They are four terms of an algebraic expression that can't be simplified
2xy + 4x + 8y + 16 = 2[xy + 2x + 4y + 8] = 2[x(y + 2) + 4(y + 2)] = 2(y + 2)(x + 4)
Y- intercept of 4x+8y=16
Solve for Y algebraically. 4X + 8Y = 16 8Y = - 4X + 16 Y = - 1/2X + 2 graph and see that the Y intercept = 2
16
9x plus 8y
The 4y-4y cancels out and you should be left with 16. But it's not solve-able in that sense because there is no equals sign. Simplified, though, I believe it comes to 16.
4x+8y=-24
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)