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Zinaida [17]
3 years ago
12

What is the solution to 4(2x– 3)= 2(3x+ 1)? -5 1 7 10

Mathematics
1 answer:
Paul [167]3 years ago
8 0
4 (2x – 3)= 2( 3x + 1)
<span>(4 (2x – 3)= 2( 3x + 1)) </span>÷ 2
2 (2x – 3) = (3x + 1)
4x - 6 = 3x +1
-3x       -3x
__________
x - 6 = 1
   +6  +6
______
x = 7
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- x + y = 4 \\  \therefore \:  y = x + 4...(1) \\ \& \:  3x - 4y =  - 13....(2) \\ substituting \: y = x + 4 \: in \: equation \: (2) \\ 3x - 4(x + 4) =  - 13 \\   3x - 4x - 16 =  - 13 \\  - x = 16 - 13 \\  - x = 3 \\  \huge \red{ \boxed{x =  - 3}} \\ plug \: x =  - 3 \: in \: equation \: (1) \\ y =  - 3 + 4 \\ \huge \purple{ \boxed{y = 1}} \\  \\  \orange{ \boxed{ \bold {\therefore \: (x, \:  \: y) = ( - 3, \:  \: 1)} }}

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