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Solve the system of equations. x + 3y = -1 and 2x + 2y = 6
Solution:
Given, the system of equations are
x + 3y = -1
x = -3y - 1 --- (1)
2x + 2y = 6 --- (2)
Substitute (1) in (2),
2(-3y - 1) + 2y = 6
-6y - 2 + 2y = 6
Grouping of common terms,
-6y + 2y = 6 + 2
-4y = 8
y = 8/-4
y = -2
Put y = -2 in (1)
x = -3(-2) - 1
x = 6 - 1
x = 5
Therefore, the solutions are x = 5 and y = -2.
Solve the system of equations. x + 3y = -1 and 2x + 2y = 6
Summary:
The solutions to the system of equations. x + 3y = -1 and 2x + 2y = 6 are x = 5 and y = -2.
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