Respuesta :
2x - y = 11.....multiply by -3
6x - 3y = 15
---------------
-6x + 3y = -33 (result of multiplying by -3)
6x - 3y = 15
----------------add
0 = - 18.....incorrect....NO SOLUTION
6x - 3y = 15
---------------
-6x + 3y = -33 (result of multiplying by -3)
6x - 3y = 15
----------------add
0 = - 18.....incorrect....NO SOLUTION
There will be no solution for the given equations 2x - y=11 and 6x - 3y=15.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
2x - y = 11
6x - 3y = 15.
a₁= 2 , a₂ = -1 b₁ = 6 b₂ = -2
[tex]\dfrac{a_1}{a_2}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{1}{3}[/tex]
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}[/tex]
If the two ratios are equal then the equation will not have any solution.
Therefore there will be no solution for the given equations 2x - y=11 and 6x - 3y=15.
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