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3 years ago

How do you graph a linear equation?For example, -18x+9y=72

Mathematics

2 answers:

nikdorinn [45]3 years ago

4 0

Basically with the example you have you need to have the x and y variables on different sides.
Equation:
-18x+9y=72 (now you want to add 18x on both sides)
+18x +18x
9y=72+18x (next you divide 9 to both sides to get x and y alone)
9
y=8+2x (now that you have the x and y alone this is the final equation)

On the graph you want to put a dot on 8 since it's the y-intercept or the starting point of the equation. After that you want to add 2 every time you go by 1 on the x-axis. I have a picture of a graph...

I hope this help you out :D

EleoNora [17]3 years ago

3 0

Answer:

The graph of given equation is shown below.

Step-by-step explanation:

We need to draw the graph of linear equation.

Let as consider a linear equation.

$-18x+9y=72$

First we need to find any two points on the line. So, will find x and y-intercept of the line.

Substitute x=0 in the given equation to find the y-intercept.

$-18(0)+9y=72$

$9y=72$

Divide both sides by 9.

$y=8$

⇒ y-intercept of the line is 8.

Substitute y=0 in the given equation to find the x-intercept.

$-18x+9(0)=72$

$-18=72$

Divide both sides by -18.

$y=-4$

⇒ x-intercept of the line is -4.

Now, plot these two points (0,8) and (-4,0) on a coordinate plane and connect them by a straight line.

Therefore, the graph of given equation is shown below.

You might be interested in

The cost of 1 watermelon and 5 oranges is $11.The cost of 3 watermelons and 5 oranges is $24.50.How much is the cost of 1 waterm

nignag [31]

Answer:

$6.75

Step-by-step explanation:

1: In this explanation, let's let one watermelon be w, and one orange be o.

2: From the passage, 1w + 5o = $11.

3: Also from the passage, 3w + 5o = $24.50

4: We can then use a simultaneous equation to work them out - both equations we have use 5 oranges.

3w + 5o = 24.5 (equation 1)

1w + 5o = 11 (equation 2)

5: We can now take the second equation away from the first :

3w - 1w = 2w, 5o - 5o = 0, 24.5 - 11 = 13.5

Now we know 2w = 13.5

6: If 2w = $13.50, one watermelon will be half of that, so $6.75

Hope this helps, let me know if you have any further questions :)

8 0

2 years ago

Solve each compound inequality. Graph your solutions. 5 + m > 4 or 7m< -35

Yuliya22 [10]

Answer:

Solving the inequality $5 + m > 4\: or\: 7m< -35$ we get $\mathbf{m>-1\:or\: \:m$

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality $5 + m > 4\: or\: 7m< -35$

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

$5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m-1\:or\:m$

So, solving the inequality $5 + m > 4\: or\: 7m< -35$ we get $\mathbf{m>-1\:or\: \:m$

The graph of the inequality is shown in figure attached.

5 0

2 years ago

How do i check an equation for extraneous solutions?

Marina86 [1]

Example:

$\sqrt x(x+1)=0$

This suggests two solutions, $x=0$ and $x=-1$ .

However, upon plugging these solutions back into the equation, you get

$\sqrt0(0+1)=0(1)=0$

which checks out, but

$\sqrt{-1}(1-1)=0$

does not because $\sqrt x$ is defined only for $x\ge0$ (assuming you're looking for real solutions only). So, we call $x=-1$ an extraneous solution, and the complete solution set (over the real numbers) is $x=0$ .

7 0

3 years ago

Read 2 more answers

How to simplify 20/10

Andreyy89

In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.

$\frac{20}{10}$