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solve the following system using substitution. write the answer as an ordered pa

ID: 3108255 • Letter: S

Question

solve the following system using substitution. write the answer as an ordered pair.
3x+y=-2
x-4y=5

Explanation / Answer

3x+y=-2 ----> y=-3x-2 x-4y=5 Substitute. Look above. x-4(-3x-2)=5 Distribute the negative sign. x+(-4(-3x-2))=5 Distribute. x+12x+8=5 Combine like terms. 13x+8=5 Subtract 8 from both sides. 13x=-3 Divide both sides by 13. x=-3/13 Now, refer to the equation: y=-3x-2 Substitute. y=-3(-3/13)-2 y=(9/13)-2 Turn 2 into 26/13 By multiplying it by 13/13, which is equal to 1. y=(9/13)-(26/13) y=(9-26)/13 y=-17/13 So, x=-3/13 and y=-17/13 The ordered pair is: (-3/13,-17/13)