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Esmeralda Mathews
Mathematics
13 January, 08:35
Solve using the substitution method 2x+3y=1 y=x-8
+5
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Kimberly Watts
13 January, 08:52
0
Subsitute
y=x-8
since y=x-8, subsitute x-8 for y
2x+3 (x-8) = 1
distribute (a (b+c) = ab+ac)
3 (x-8) = 3x-24
2x+3x-24=1
combine like terms
5x-24=1
add 24 to both sides
5x=25
divide 5
x=5
subsitute
y=x-8
y=5-8
y=-3
x=5
y=-3 is solution
in (x, y) forom
(5,-3) is the solution
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Cristopher Mitchell
13 January, 08:56
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I will try to solve your system of equations. y = x-8; 2x + 3y = 1 Step: Solve y = x-8 for y:Step: Substitute x-8 for y in 2x + 3 y = 1 : 2x + 3y = 1 2x + 3 (x-8) = 1 5x - 24 = 1 (Simplify both sides of the equation) 5x - 24 + 24 = 1+24 (Add 24 to both sides) 5x = 25 5x 5 = 255 (Divide both sides by 5) x=5 Step: Substitute 5 for x in y = x-8 : y = x-8 y = 5-8 y = - 3 (Simplify both sides of the equation) Answer: y = - 3 and x = 5
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