Answer:
Step-by-step explanation:
y = 1 - x.....so sub 1 - x in for y back into the other equation and solve for x
5x + 4y = 1
5x + 4(1 - x) = 1
5x + 4 - 4x = 1
x + 4 = 1
x = 1 - 4
x = -3
y = 1 - x
y = 1 - (-3)
y = 1 + 3
y = 4
solution : x = -3 and y = 4 or (-3,4)
Answer:
x = 5/3
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
y = 3x - 2
y = 3
<u>Step 2: Solve for </u><u><em>x</em></u>
- [Equation] Substitute in <em>y</em>:
3 = 3x - 2 - [Addition Property of Equality] Add 2 on both sides:
5 = 3x - [Division Property of Equality] Divide 3 on both sides:
5/3 = x - Rewrite:
x = 5/3
∴ the value of <em>x</em> when <em>y</em> = 3 is equal to 5/3, or approximately 1.67.
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Learn more about Algebra I: brainly.com/question/27710551
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Topic: Algebra I
Answer:
to examine the ratio y/x (instead of x/y). If the x and y coordinates form proportional relationships, then there is some non-changing number (a constant) that when multiplied times x will create y. In this example, that number is 3 (y = 3x), and is called the constant of proportionality.
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
thats all i know :(
Answer:
We do not have the function g(x), but this can be solved in a trivial way.
The average rate of change in a interval is the slope over that interval, so the average rate of change of g(x) in the interval 1 < x < 5 is
p = (g(x2) - g(x1))/(x2 - x1) where x2 > x1
p = (g(5) - g(1))/(5 - 1) = (g(5) - g(1))/4
Now, suppose that i have the new equation h(x) = g(x) + x
the rate of change of this function, the average rate of change in the interval will be:
p' = (h(5) - h(1))/(5 - 1) = (g(5) + 5 - g(1) - 1)/4 = (g(5) - g(1))/4 + 4/4 = p +1
so p' > p
and the average rate of change of h(x) is bigger than the one of g(x) in the interval 1< x < 5
