Answered

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Use the linear combination method to solve the system of equations. *Explain each step of your solution.2x - 3y = 13x + 2y = 4

Sagot :

We have the next system of equations

[tex]\begin{gathered} 2x-3y=13 \\ x+2y=4​ \end{gathered}[/tex]

We will multiply by -2 the second equation

[tex]\begin{gathered} -2(x+2y=4​) \\ -2x-4y=-8 \end{gathered}[/tex]

Then we sum

[tex]\begin{gathered} \text{ 2x-3y=13} \\ +-2x-4y=-8 \end{gathered}[/tex]

We simplify

[tex]\begin{gathered} -7y=5 \\ y=-\frac{5}{7} \end{gathered}[/tex]

Then for x

[tex]x=-2(-\frac{5}{7})+4[/tex]

Then we simplify

[tex]x=\frac{38}{7}[/tex]

ANSWER

x=38/7

y=-5/7

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