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worty [1.4K]
3 years ago
5

Solve the system of linear equations by substitution. Check your solution.

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Answer:

x = 4 and y = 1/2

Step-by-step explanation:

Given equations are :

\dfrac{x}{2}+2y=3\ .....(1)\\\\6y+1=x\ ......(2)

Put the value of x from equation (2) in equation (1).

\dfrac{6y+1}{2}+2y=3\\\\\dfrac{6y+1+4y}{2}=3\\\\\dfrac{10y+1}{2}=3\\\\10y+1=6\\\\10y=5\\\\y=\dfrac{1}{2}

Put the value of y in equation (2) :

6\times \dfrac{1}{2}+1=x\\\\3+1=x\\\\x=4

So, the value of x = 4 and y = 1/2.

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