X + 3y = 12 2 x - 4 y = 4solve by graphing.

1 answer:

4 0

$\begin{gathered} x+3y=12 \\ 2x-4y=4 \end{gathered}$ $\begin{gathered} x=12-3y \\ \\ 2(12-3y)-4y=4 \\ 24-6y-4y=4 \\ 24-10y=4 \\ -10y=-20 \\ y=2 \\ \\ x=12-3(2) \\ x=12-6 \\ x=6 \end{gathered}$

By graphing

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What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Natasha2012 [34]

$x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Step-by-step explanation:

We need to find the solution of:

$\sqrt{x^2+49}=x+5$

Solving:

Taking square on both sides:

$(\sqrt{x^2+49})^2=(x+5)^2\\x^2+49=x^2+2(x)(5)+25\\Simplifying:\\x^2+49-x^2-10x-25=0\\-10x+24=0\\-10x=-24\\x=\frac{-24}{-10}\\ x=\frac{24}{10}\\x=\frac{12}{5}$

Verifying the solution by putting x = 12/5 in the given equation, we get true result.

So, $x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Keywords: Solving Square root Equations

Learn more about Solving Square root Equations at:

#learnwithBrainly

5 0

4 years ago

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the equation y equals 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional fro

Allisa [31]

If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5

In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line

You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.