Given the system of equations below:
The first equation is y-isolated so we can substitute in the second equation.
Use the distribution property to expand in and simplify.
The another method is to divide the second equation by 2.
Arrange in the form of y = mx+b.
When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.
For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.
Answer
Hope this helps. Let me know if you have any doubts!
Answer:
See below.
Step-by-step explanation:
The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.
x - 5.5y = -14
-x + 2.6y = 8.2
Add the equations. x and -x ad to zero, eliminating x. Then solve for y.
-2.9y = -5.8
Divide both sides by -2.9
y = 2
Substitute 2 for y in the first original equation, and solve for x.
x - 5.5y = -14
x - 5.5(2) = -14
x - 11 = -14
x = -3
Solution: x = -3; y = 2
Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.
a = total amount invested at 5%
b = total amount invested at 8%
we know 5% was earned in interest from "a", so that'd be (5/100) * a or 0.05a.
we know 8% was earned in interest from "b", so that'd be (8/100) * a or 0.08b.
we also know that the total for both is 1000, a + b = 100.
Answer:
Graph D
Step-by-step explanation:
< or > require a circle that is NOT shaded in so we can eliminate Graph B and Graph C
The arrow is >, and it is pointing this way--> so you shade in towards the right. Hope this helps!
