Problema Solution
-7 and 8 will become solutions to a system of two equations. Write two equations that have these two integers as solutions. Show how you built the equations using integers. Next solve your system of equations by the addition/subtraction method. Make sure you show the 5 necessary steps.
Answer provided by our tutors
Let x = 3
Let y = -2
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Form 2 equations in x and y:
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2x + y = 4
-x +2y = -7
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Solve the system:
Multiply the bottom equation by 2:
2x + y = 4
-2x +4y = -14
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Add the 2 equations and solve for "y":
5y = -10
y = -2
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solve for "x":
2x+y = 4
2x - 2 = 4
2x = 6
x = 3
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Solution: x= 3 ; y = -2