Solve the system of linear equations by substitution.
x=2y+7
3x−2y=3
1 answer:
<u>The system of equation</u>
First equation
x = 2y + 7
Second equation
3x - 2y = 3
<u>Substitute x with (2y + 7) in the second equation</u>
3x - 2y = 3
3(2y + 7) - 2y = 3
use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3
add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5
<u>Substitute y with its value, which is -4.5, in the first equation</u>
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2
<u>The solution is</u>
<u />(x,y) = (-2, -4.5)
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