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How to solve x=y+1 4x+2y=-14 Using the substitution Method?

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Ray Dart answered

x = y + 1  ... (1)

4x + 2y = 14 ...(2)

Substitute from (1) in (2)

4(y + 1) + 2y = 14

expand

4y + 4 + 2y = 14

simplify

6y = 10

y = 5/3

Substitute for y in (1)

x = 5/3 + 1

x = 8/3

Check in (2)

4(8/3) + 2(5/3) = 14

32/3 + 10/3 = 14

42/3 = 14 (answer checks)

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