Solution of the equation 3x+5 = 2y and 6x-4y = 10 is value of x and y here is what ?
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consistent
Step-by-step explanation:
( Note: consistent just means "the equations have solutions" and vice versa)
For two system of equations to be considered inconsistent, there graphs must not intersect each other.
In this case, these are linear equations.
So, if \frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}
a
2
a
1
=
b
2
b
1
=
c
2
c
1
, the two equations are inconsistent.
a, b, and c are the coefficients of x, y and c is the constant
\frac{a_1}{a_2}=3/6=0.5
a
2
a
1
=3/6=0.5
\frac{b_1}{b_2}=2/(-4)=-0.5
b
2
b
1
=2/(−4)=−0.5
\frac{c_1}{c_2}=(-5)/(-10)=0.5
c
2
c
1
=(−5)/(−10)=0.5
since the condition stated above is not satisfied, the equations are consistent
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