solve the system of linear equations by substitution 3y=-2x and y=x-5

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03-11-2022
Mathematics

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solve the system of linear equations by substitution 3y=-2x and y=x-5

Sagot :

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AdithyaX13197 AdithyaX13197 · Answer 1 · 2022-11-03T13:47:40-04:00

Step 1

Given;

[tex]\begin{gathered} 3y=-2x--(1) \\ y=x-5--(2) \end{gathered}[/tex]

Required; To solve the system of linear equations

Step 2

Find the value of y and x

[tex]\begin{gathered} Substitute\text{ 2 into 1} \\ 3(x-5)=-2x \\ 3x-15=-2x \\ 5x=15 \\ \frac{5x}{5}=\frac{15}{5} \\ x=3 \end{gathered}[/tex][tex]\begin{gathered} From\text{ 2, y=x-5} \\ y=3-5=-2 \end{gathered}[/tex]

Answers;

[tex]x=3,\text{ y=-2}[/tex]

Sagot :

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