(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
Answer: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
I think this the answer♀️
Answer:
t=4
Step-by-step explanation:
The given logarithmic equation is:
We want to solve for,
We take antilogarithm to get:
Combine similar terms to get:
Simplify to obtain:
Divide both sides by 5
The given proportional relationship is y = -5x.
Therefore the ratio
y/x = -5 = -5/1
If x changes by 1, then y/x = y/1 = -5.
This means that y changes by -5 when x changes by 1.
The ratio of vertical change is -5:1
The standard equation for a straight line is
y = m*x + c
where
m = the slope,
c = the y-intercept.
Therefore the given relationship is a straight line with a negative slope of -5. This means that y decreases as x increases.
Answer: C
-5:1
The graph decreases from left to right.
0.27 because if you put it like a whole fraction it would be 3/11 and as a decimal it is 0.27
