Answer: <em>(-2, -1) and (3, 14).</em>
Step-by-step explanation:
<em>x² + 2x - 1 = 5 + 3x</em>
<em>x² + 2x - 1 - 5 - 3x = 0</em>
<em>x² - x - 6 = 0</em>
<em /><em />
<em>y = 5 + 3x</em>
<em>y₁ = 5 + 3 * (-2) = -1</em>
<em>y₂ = 5 + 3 * 3 = 14</em>
<em>The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).</em>
Answer:
The phrasing of the question is a bit weird maybe, I think, but it's one of the lobes in your brain, I suppose.
Answer:
The largest integer value that makes the inequality true is 9.
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
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
Answer:
21
Here’s legitimate proof that 9+10=21
(9 + 10) (base x) = 21 (base y)
9(1) + [1(x) + 0(1)] = 2(y) + 1
Simplify and solve for y:
2y = 8 + x
y = 4 + x/2
Since we have number bases, we want x and y to be positive integers. The term x/2 requires that x be a positive even number.
Also since 9 is in base x, we have x ≥ 10, as the digit 9 would not be used for a base 9 or smaller.
Thus we have the pairs of solutions:
x = 10, so y = 9
x = 12, so y = 10
x = 14, so y = 12
…
x, y = 4 + x/2 … Therefore 9+10=21!