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salantis [7]
4 years ago
7

What is the solution to the system of equations y=x+3, y=3x+1

Mathematics
1 answer:
Snezhnost [94]4 years ago
3 0

Substitution method

y = x + 3   (*)

y = 3x + 1  (**)

Substitute (*) to (**):

3x + 1 = x + 3      <em>subtract 1 from both sides</em>

3x = x + 2       <em>subtract x from both sides</em>

2x = 2        <em>divide both sides by 2</em>

<h3>x = 1</h3>

Put the value of x to (*):

y = 1 + 3

<h3>y = 4</h3><h3>Answer: x = 1 and y = 4 → (1, 4).</h3>
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