(2×+4y)-(3×+2y) select proper alternative for the subtraction full method
Answers
Answer:
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Step-by-step explanation:
What is the substitution method?
The substitution method is a technique for solving systems of linear equations. Let's walk through a couple of examples.
Example 1
We're asked to solve this system of equations:
\begin{aligned} 3x+y &= -3\\\\ x&=-y+3 \end{aligned}
3x+y
x
=−3
=−y+3
The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:
\begin{aligned} 3\blueD{x}+y &= -3\\\\ 3(\blueD{-y+3})+y&=-3\\\\ -3y+9+y&=-3\\\\ -2y&=-12\\\\ y&=6 \end{aligned}
3x+y
3(−y+3)+y
−3y+9+y
−2y
y
=−3
=−3
=−3
=−12
=6
Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:
\begin{aligned} x &= -\blueD{y} +3\\\\ x&=-(\blueD{6})+3\\\\ x&=-3 \end{aligned}
x
x
x
=−y+3
=−(6)+3
=−3
The solution to the system of equations is x=-3x=−3x, equals, minus, 3, y=6y=6y, equals, 6.
We can check our work by plugging these numbers back into the original equations. Let's try 3x+y = -33x+y=−33, x, plus, y, equals, minus, 3.
\begin{aligned} 3x+y &= -3\\\\ 3(-3)+6&\stackrel ?=-3\\\\ -9+6&\stackrel ?=-3\\\\ -3&=-3 \end{aligned}
3x+y
3(−3)+6
−9+6
−3
=−3
=
?
−3
=
?
−3
=−3