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Lea
Mathematics
22 August, 09:36
Solve the system of equations.
-4x+7y=20
y=3x+15
+2
Answers (
1
)
Lena Yang
22 August, 09:49
0
Solve by Substitution:
/ / Solve equation [2] for the variable y
[2] 5y = 15x - 4
[2] y = 3x - 4/5
/ / Plug this in for variable y in equation [1]
[1] 15x - 20• (3x-4/5) = 7
[1] - 45x = - 9
/ / Solve equation [1] for the variable x
[1] 45x = 9
[1] x = 1/5
/ / By now we know this much:
x = 1/5
y = 3x-4/5
/ / Use the x value to solve for y
y = 3 (1/5) - 4/5 = - 1/5
Solution:
{x, y} = {1/5,-1/5}
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