The inverse of an equation is rewriting it as a function of the other variable. Simply solve the equation for x instead of y. y=9x can be written as x= (1/9)y --> fy=y/9◄ y=4x+6 (or 4x+6=y) -> 4x=y-6 -> x=(y-6)/4 --> gy=(y-6)/4■
x = 5 y = 2 4x - 3y = ? 4(5) - 3(2) = ? 20 - 6 = 14
10
y = 100 - 4x ( a ) Find the value of y when x = 20.
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
If: y = x -2 and 7y -4x = 10 Then: x = 8 and y = 6
y=4x-6 and x=1 Just replace the x in the first equation with 1 and solve. y=4(1)-6 y= (-2)
To determine the x - intercept put y = 0 (and conversely the y - intercept is shown when x = 0) y = 4x + 6 0 = 4x + 6 4x = -6 x = -6/4 = -3/2 (or -1.5)
The inverse of an equation is rewriting it as a function of the other variable. Simply solve the equation for x instead of y. y=9x can be written as x= (1/9)y --> fy=y/9◄ y=4x+6 (or 4x+6=y) -> 4x=y-6 -> x=(y-6)/4 --> gy=(y-6)/4■
So -3x - 6 = x - 4, ie -2 = 4x so x = -½ and y = -4½
y = 4, x = 6
x = 5 y = 2 4x - 3y = ? 4(5) - 3(2) = ? 20 - 6 = 14
4x - 2y = -6 4x - 4x - 2y = -4x - 6 - 2y = -4x - 6 divide by -2 to both sides y = 2x + 3 This is the equation of the line with slope 2, x-intercept -3/2 (y = 0), y intercept 3 (x = 0). By giving different values for x, we can find different values for y.
x-intercept of y equals -4x plus 4 y = -4x + 4 0 = -4x + 4 -4 = -4x 1 = x So 1 is the x-intercept
6x - 3y = 304x = 2 - y4x = 2 - yy = 2 - 4x (substitute 2 - 4x for y into the first equation)6x - 3y = 306x - 3(2 - 4x) = 306x - 6 + 12x = 3018x = 36x = 2y = 2 - 4x (substitute 2 for x)y = 2 - 4(2) = 2 - 8 = -6So the solution is x = 2, and y = -6.x + y = 2 + -6 = -4Thus, it is true that x + y = -4.
4x + y = 9 so that y = 9 - 4x 7x - 8y = 6 7x - 8*(9-4x) = 6 7x - 72 + 32x = 6 39x = 78 x = 2 Then y = 9 - 4x = 9-4*2 = 9-8 = 1
The y intercept is when x =0, so the answer is -6