For what values of a can you solve the linear system ax+3y=2 and 4x+5y=6 by elimination without multiplying first?
1 answer:
Answer:
a=-4
Step-by-step explanation:
and
In elimination method we try to eliminate one variable
To eliminate one variable we need to make the coefficients same with different sign
to eliminate the variable x we need to make the number before x same and with different sign
In the second equation the coefficient of x is 4
so the value of 'a' should be -4 to eliminate
a=-4
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Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
Likewise:
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
Likewise:
Since ∠QAC ≅ ∠PAB:
And by substitution:
Thus:
Then by SAS Congruence:
And by CPCTC: