What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1

Solution:

5x + 2y = 7 …. (1)

y = x + 1 ….. (2)

Let us solve the system of linear equations using the substitution method.

Substituting equation (2) in (1)

5x + 2(x + 1) = 7

By further calculation

5x + 2x + 2 = 7

So we get

7x = 7 - 2

7x = 5

Divide both sides by 7

x = 5/7

Substitute the value of x in equation (2)

y = 5/7 + 1

Taking LCM

y = (5 + 7)/7

y = 12/7

Therefore, the solution set is (5/7, 12/7).

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What is the solution set of the given systems? 5x + 2y = 7 and y = x + 1

Summary:

The solution set of the given systems 5x + 2y = 7 and y = x + 1 is (5/7, 12/7).