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Darryl Yates
Mathematics
17 April, 14:30
Solve the given system of equations
2y=-x+9
3x-6y=-15
+1
Answers (
1
)
Robert Herman
17 April, 14:55
0
Answer: x = 2, y = 3.5
Step-by-step explanation:
Given:
2y = - x + 9 ... equation 1
3x - 6y = - 15 ... equation 2
Solving the system of linear equations by substitution method, we will make x the subject of the formula from equation 1, that is
2y = - x + 9
x = 9 - 2y ... equation 3
Substitute x = 9 - 2y into equation 2, equation 2 then becomes:
3 (9 - 2y) - 6y = - 15
27 - 6y - 6y = - 15
27 - 12y = - 15
27 + 15 = 12y
42 = 12y
y = 3.5
substitute y = 3.5 into equation 3 to get the value of x,
x = 9 - 2y
x = 9 - 2 (3.5)
x = 9 - 7
x = 2
Therefore:
x = 2, y = 3.5
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