Plzz i need it right now : (
1. the following proof shows an equivalent system of equati...
Mathematics, 07.11.2019 03:31 deb2710
Plzz i need it right now : (
1. the following proof shows an equivalent system of equations created from another system of equations. fill in the missing reason in the proof.
statements reasons
2x + 2y = 14
βx + y = 5 given
2x + 2y = 14
y = x + 5 ?
multiplication property of equality
addition property of equality
division property of equality
subtraction property of equality
2.explain how system 1 becomes equivalent to system 2.
system 1:
lx + my = n
ax + by = c
system 2:
(l β a)x + (m β b)y = n β c
lx + my = n
the first equation in system 2 is the sum of the equations in system 1. the second equation in system 2 is the first equation in system 1.
the first equation in system 1 is the difference of the equations in system 2. the second equation in system 1 is the first equation in system 2.
the first equation in system 2 is the difference of the equations in system 1. the second equation in system 2 is the first equation in system 1.
the first equation in system 1 is the sum of the equations in system 2. the second equation in system 1 is the first equation in system 2.
3.
create an equivalent system of equations using the sum of the system and the first equation.
β3x + y = 12
x + 3y = 6
β3x + y = 12
β2x + 4y = 18
β3x + y = 12
β3x + 4y = 18
β3x + y = 12
x + 4y = 18
β3x + y = 12
β2x + 4y = 6
4.choose a system of equations with the same solution as the following system:
6x + 2y = β6
3x β 4y = β18
8x + 4y = β4
17x + 2y = β28
12x + 4y = 12
21x + 2y = β36
6x + 8y = β36
15x + 6y = β60
6x + y = 15
15x β y = β9
Answers: 3
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