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Which of the following graphs shows the solution to the system of equations?

Y=5x-1
Y=x+3

Which of the following graphs shows the solution to the system of equations? Y=5x-example-1
User Nogoseke
by
3.3k points

1 Answer

5 votes

Answer: (1,4)

Explanation:

The system of equations:

y=5x-1 (1)

y=x+3 (2)

Hence,

5x-1=x+3

5x-1-x=x+3-x

4x-1=3

4x-1+1=3+1

4x=4

Divide both parts of the equation by 4:

x=1

Substitute the value of x=1 into equation (2):

y=1+3

y=4

Thus, (1,4)

Which of the following graphs shows the solution to the system of equations? Y=5x-example-1
User Kritz
by
3.4k points