-3
-3
6x+4=52 6x=48 x=8
When graphed, or written in the form [ y = f(x) ], the slope is -3 .
Get in form first.6X - 2Y = 18- 2Y = - 6X + 18Y = 3X - 9====================zero out Y to find X intercept3X - 9 = 03X = 9X = 3==========X intercept
(2, 1)
X=7 y=5
x = 2, y = 1
8x - 10y = 27x - 5y = 13First, we need to eliminate one of the variables. For this, we would like to have them with the same coefficient but different sign. We can do this if we multiply by -2 the second equation.8x - 10y = 2-2(7x - 5y) = -2(13)8x - 10y = 2-14x +10y = -26Now, we can add both equations, and solve for x.(8x - 10y) + (-14x + 10y) = (2) + (-26)(8x - 14x) +(-10y + 10y) = (2 - 26)-6x = - 24-6x/-6 = - 24/-6x = 4Substitute 4 for x in the first equation:8x - 10y = 28(4) - 10y = 232 - 10y = 232 - 32 - 10y = 2 - 32-10y = -30-10y/-10 = -30/-10y = 3Thus, the solution of the system is (4, 3).Check:
maximum value of 6y+10y
x = 2 and y = 1 The lines intersect at the point (2, 1)
-6x + y = 9 (+6x) -> y = 6x + 9
y=6x+12
y = 6x+8 is already in slope intercept form
3x = y
32
-3