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solve the linear equation
Find x and why that are the same in each equation.
the two equations are
x+2y=1 & 5x-4y=-23
Hmm ok, well there’s two ways to do this… there’s substitution and then another method that I cant remember the name of, I’ll show you both ways…
Substitution
Equation 1: x + 2y = 1 Change equation one so that you get the value of x: x = 1 - 2y Insert the value of x into the second equation, so 5 (1-2y) - 4y = -23 Open the equation 5 - 10y - 4y = -23 Solve: 5-14y = -23 -14y = -28 y = 2 Plug why back into the first equation: x + 2(2) = 1 x + 4 = 1 x = -3 Check…
5(-3) - 4(2) = -15 - 8 = -23
OTHER METHOD…
Make x in both equations the same so multiply first equation by 5: 5 (x + 2y = 1) = 5x + 10 y = 1
Subtract the second equation from first, so 5x + 10 y = 1 5x - 4y = -23 0x + 14y = 24 y = 2
Plug why back into the first equation: x + 2(2) = 1 x + 4 = 1 x = -3 Check…
5(-3) - 4(2) = -15 - 8 = -23
Lemme ask you something. Is that off you’re math homework? I don’t think you are allowed to do that. If you are just asking for fun then TY pretty much summed it up.
Go here for help It actually EXPLAINS Everything to you.
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