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1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6
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1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6
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Mathematics
3 years
2021-09-02T04:06:49+00:00
2021-09-02T04:06:49+00:00 1 Answers
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Answers ( )
Answer:
x= -3 and y= 0
Step-by-step explanation:
5x+2y=-15
2x-2y=-6
7x =-21
x= -3
Putting value of x in equation 1
5(-3) +2y=-15
-15+2y= -15
2y= 0
y= 0
This can be solved with the help of matrices
In matrix form the above equations can be written in the form
Let
Then AX= B
or X= A⁻¹ B
where A⁻¹= adj A/ ║A║ where mod A≠ 0
adj A=![Rendered by QuickLaTeX.com \left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]](https://documen.tv/wp-content/ql-cache/quicklatex.com-719e51e55b6b50e41ce0e7bc20d40118_l3.png)
║A║= ( 5*-2- 2*2)= -10-4= -14≠0
X= A⁻¹ B
From here x= -3 and y= 0
Solution Set = [(-3,0)]