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28 votes
28 votes
2x+3y=7 find the same solution

User Pjumble
by
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1 Answer

21 votes
21 votes

The given equation is


2x+3y=7

To find a solution we must choose a value of x, then find the corresponding value of y

Let us choose x = 2

Substitute x in the equation by 2


2(2)+3y=7

Then let us find the value of y


4+3y=7

Subtract 4 from both sides


\begin{gathered} 4-4+3y=7-4 \\ 3y=3 \end{gathered}

Divide both sides by 3


\begin{gathered} (3y)/(3)=(3)/(3) \\ y=1 \end{gathered}

The solution is (2, 1)

User Brann
by
3.1k points