2x - y = 9
3x + 4y = -14
To solve this system using elimination, one of the pairs of variable terms must cancel each other out. Their coefficients must be opposites of each other.
Multiply the top equation by 4.
2x - y = 9
4(2x - y = 9)
8x - 4y = 36
Add the equations together.
8x - 4y = 36
3x + 4y = -14
+___________
11x - 0 = 22
11x = 22
x = 2
Substitute 2 for x into either of the original equations to find y.
2x - y = 9
2(2) - y = 9
4 - y = 9
-y = 5
y = -5
Finally, check work by plugging x- and y-values into each original equation.
2(2) - (-5) = 9 --> 4 + 5 = 9 --> 9 = 9 --> True
3(2) + 4(-5) = -14 --> 6 - 20 = -14 --> -14 = -14 --> True
Answer:
x = 2 and y = -5; (2, -5).
Answer:
;
Step-by-step explanation:
9514 1404 393
Answer:
(c) g(x) = 1/3·f(x)
Step-by-step explanation:
You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).
You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...
g(x) = 1/3·f(x)
__
The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).
Answer: 10 cats
Step-by-step explanation:
3/2
15/x
3*5=15
2*5=10
3/2=15/10
Answer:
-4x^2 -3x - 5
Step-by-step explanation:
-4x^2 + 2x - 5(1 + x)
Distribute
-4x^2 + 2x - 5 -5x
Combine like terms
-4x^2 -3x - 5
