Determine the number solutions for system x-2y=1 and -4x+8y=-4
1 answer:
Answer:
Hence, the system of equation does not have solution.
Step-by-step explanation:
You have the following 2x2 system:
You can obtain the solution to the system by using substitution method.
You solve the first equation for x:
(3)
Next, you replace (3) in the equation (2), and you solve for y:
The last result is the trivial solution. This means that the equation (2) is a multiple scale of the first equation. In fact, if you multiply equation (1) by -4, you obtain the equation (2).
Hence, the system of equations does not have solution.
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Answer:
6x - 2y > 8
<u><em>First, solve the inequality (Isolate the y-variable & put it in function format):</em></u>
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<u><em>Second, graph the function y = 3x - 4 on the graph.</em></u>
- It should be linear.
- Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.
<u><em>Third, shade in the area below the line(where y-values are smaller).</em></u>
- Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.