Put x = 0 (cover up the x term).
You are left with -8y = 16 and dividing by -8 gives y = -2
So (0, -2) is one point on the line.
Put y = 0 (cover up the y term).
You are left with -2x = 16 and dividing by -2 gives x = -8
So (-8, 0) is another point on the line.
Join the two ponits and extend the line as required.
3x - 8y + 2x - 5 - 5y = 5x -13y - 5
y2 +8y + 16 = 0 can factor to (y+4) (y+4) = 0 so y+4 = 0 so y = -4
12x-8y
Solve by the substitution method the given system of the linear equations of 3 variables.2x + 7z = 648y + 6z = 403x - 2y + 4z = 46 (add the first equation with the second equation)2x + 8y + 13z = 1043x - 2y + 4z = 46 (multiply the second equation by 4)2x + 8y + 13z = 10412x - 8y + 16z = 184 (add both equations)14x + 29z = 28814x + 29z = 2882x + 7z = 64 (multiply the second equation by -7)14x + 29z = 288-14x - 49z = -448 (add both equations)-20z = -160 (divide both sides by -20)z = 82x + 7z = 64 (substitute 8 for z)2x + 7(8) = 642x + 56 = 64 (subtract 56 to both sides)2x = 8(divide by 2 to both sides)x = 48y + 6z = 40 (substitute 8 for z)8y + 6(8) = 408y + 48 = 40 (subtract 48 to both sides)8y = -8 (divide by 8 to both sides)y= -1Thus, the solutions are x = 4, y = -1, and z = 8.
-3x + 2y = 8To get into slope intercept, we must set the equation equal to y2y = 3x + 8y = 3/2x + 8/2y = 3/2x + 4
Solve for Y algebraically. 4X + 8Y = 16 8Y = - 4X + 16 Y = - 1/2X + 2 graph and see that the Y intercept = 2
7
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.
2x = -7 - 8y
Convert the equation into standard form, y = mx + c, where m is the slope and c is the y intercept. -2x - 8y = 16 8y = -2x - 16 y = - x/4 - 2 Then the slope is -1/4 and the y intercept is -2
3
(2, 3)
x + 4y = 5Standard Form for a linear equation is Ax + By = C, where B is not = 0, A is >=0, A is an integer, and -preferably- A, B and C have no common factor. Sometimes ax + by + c = 0 is used instead.10 - 2x = 8y 10-2x-8y =0 -2x-8y=-10 2x+8y=10 x+4y=5.
x = 8y = -42x - y = 2(8) - (-4) = 16 + 4 = 20
( 2xy - 4x ) + ( 8y - 16)2 ( xy - 2x ) + 2 ( 4y - 8 ) Answer
2xy - 4x + 8y - 16 can be factored.(2xy - 4x) + (8y - 16)2x(y - 2) + 8(y - 2)Since y-2 is the same as the other, it would turn out like this:(2x + 8)(y - 2):]
3x-y = 3y3x = 4yy = 0.75x3x-0.75x = 2x+22.25x = 2x+20.25x = 2x = 8y = 6