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SVETLANKA909090 [29]
2 years ago
7

Solve the given system by the substitution method. If there is no solution or an infinite number of​ solutions, so state. Use se

t notation to express solution sets.
x+3y=14
4x+5y=35
Mathematics
1 answer:
Leya [2.2K]2 years ago
6 0
X=14-3y and sub into equation 2
4(14-3y)+5y=35
56-12y+5y=35
56-35=7y
y=21/7
y=3sub back into equation 1
x +3(3)=14
x=14-9
x=5
there fore (x,y)=(5,3)
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We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

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\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

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