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Solve the system of linear equations using the substitution method.

Y = 6x + 11 and 2y - 4x = 14

A. (-1, 5)

B. (-4, 3)

C. (-2, 2)

D. (-4, 4)

User Lkraav
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2 Answers

1 vote

Hope this answer helps you a lot

Solve the system of linear equations using the substitution method. Y = 6x + 11 and-example-1
User VickTree
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Option A. (-1,5)


{ \blue{ \tt{x = - 1}}}


{ \blue{ \tt{y = 5}}}

Explanation:


{ \bold{ \orange{y = 6x + 11}}} \: → \: { \bold{ \green{ {eq}^(n)(1)}}}


{ \bold{ \orange{2y - 4x = 14}}} \: →{ \green{ \bold{ {eq}^(n)(2)}}}

Substitute the value of y in Equation no. (2) then,


{ \bold{ \orange{2(6x + 11) - 4x = 14}}}


{ \bold{ \orange{12x + 22 - 4x = 14}}}


{ \bold{ \orange{8x + 22 = 14}}}


{ \bold{ \orange{8x = 14 - 22}}}


{ \bold{ \orange{8x = - 8}}}


{ \bold{ \orange{x = ( - 8)/( \: \: \: 8)}}}


{ \bold{ \orange{x = - 1}}}

Substitute the value of x in Equation no. (1) then,


{ \bold{ \orange{y = 6x + 11}}}


{ \bold{ \orange{y = 6(-1) + 11}}}


{ \bold{ \orange{y = -6 + 11}}}


{ \bold{ \orange{y = 5}}}

User Kalisjoshua
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