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Marianna [84]
3 years ago
11

Find the x and y intercepts of the line given by the equation 2x - 3y = 12

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Yo sup??

The x intercept can be found out by putting y=0 in the equation

2x=12

x=6

the x intercept is 6

similarly the y intercept can be found out by placing x=0

-3y=12

y=-4

the y intercept is -4

Hope this helps

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3 years ago
Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:
inna [77]

Given

-2x-2y=8

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}

-Divide both sides by -2:

\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

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As you can see the values are a valid solution for the linear equation.

So the solution is:

-2(2)-2(-6)=8

6 0
1 year ago
Can anyone help me pls. Show your work.
nekit [7.7K]

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tep-by-step explanation:

4 0
3 years ago
Read 2 more answers
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