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blondinia [14]
3 years ago
7

Use elimination to solve and match each system of equations to the correct solution.

Mathematics
1 answer:
podryga [215]3 years ago
7 0

\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}

\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}     (adding the second equation to the first one)

\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}

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tensa zangetsu [6.8K]
A = -6

order of operations does division first, but you have to know that you must add -1 to 9 in order to get 8. Therefore, you must have a negative number over 6 and it has to be -6 in order for that negative number to be -1
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Write the equation of the line in point-slope form of the given point and slope. This is an essay style question. If you hit the
svp [43]

Answer:

<h3>y + 2 = 3/7(x-7)</h3>

Step-by-step explanation:

The point-slope form of the equation will be expressed as;

y - y0 = m(x-x0) where;

m is the slope

(x0, y0) is the point on the line

Given

Slope m = 3/7

Point (x0, y0) = (7, -2)

Substitute into the equation;

y - y0 = m(x-x0)

y - (-2) = 3/7 (x - 7)

<em>y + 2 = 3/7(x-7)</em>

<em>Hence the equation in point-slope form is y + 2 = 3/7(x-7)</em>

3 0
3 years ago
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Katena32 [7]
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i hate these so much hope it helps! :)
4 0
3 years ago
Which equation is correct using "is not equal to'' (≠)?
romanna [79]

65/5=13-3=10       27-17=10

72/6=12-1=11         54-43=11

88/8=11-2=9         27-18=9

90/3=30-8=22    34-10=24

So, that makes "90 ÷ 3 − 8 _____ 34 − 10" not equal.

Hope this helps! Stay Safe!

5 0
3 years ago
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