4x+3y=19 and 6x-5y=-57
eliminate
multiply first equation by -6 and 2nd by 4
and add them
-24x-18y=-114
<u>24x-20y=-228 +</u>
0x-38y=-342
-38y=-342
divide both sides by -38
y=9
sub back
4x+3y=19
4x+3(9)=19
4x+27=19
minus 27 both sides
4x=-8
divide 4
x=-2
(x,y)
(-2,9)
Answer:
42
Step-by-step explanation:
x = Ky
18 = K(3)
K = 18/3 = 6
x = 6y
x = 6(7) = 42
Answer:
The answer is 25
Step-by-step explanation:
Answer:
0.875
Step-by-step explanation:
Answer:
y= -2x-3
Step-by-step explanation:
Using the slope intercept form we have to first find the gradient of the line.
m=(y₂-y₁)/(x₂-x₁)
y₁=5
y₂=-9
x₁=-4
x₂=3
Therefore, m= (-9-5)/(3--4)
=-2
Therefore if we pick any point on the line, say, (-4,5) we obtain the same slope.
(y-5)/(x--4)=-2
(y-5)/(x+4)=-2
y-5=-2(x+4)
y-5=-2x-8
y= -2x-3
Thus the equation of the line in the slope intercept form is: y= -2x-3