BrynnaF140977 BrynnaF140977
  • 25-10-2022
  • Mathematics
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WW Solve the system by substitution. -10x + 4y = -18 and x= y Submit Answer

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JulieanneY383888 JulieanneY383888
  • 25-10-2022
[tex]\begin{gathered} 10x+4y=-18\text{ ..}.(1) \\ x=y\ldots(2) \end{gathered}[/tex]

Substitute second expression (x=y) in the first expression.

[tex]\begin{gathered} -10x+4y=-18 \\ -10\times y+4y=-18 \\ -6y=-18 \\ y=\frac{-18}{-6} \\ y=3 \end{gathered}[/tex]

Substitute the above value of y in the expression number 2.

[tex]\begin{gathered} x=y \\ x=3 \end{gathered}[/tex]

Thus, the value of x=3 and the value of y=3.

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