qdjenkins314
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Please solve the system of equations!!

Please Solve The System Of Equations class=

Sagot :

WindyMint

[tex] \bf \dagger \: To \: find[/tex]

[tex] \\ \\ [/tex]

  • Value of x

  • Value of y

[tex] \\ \\ [/tex]

[tex] \bf \dagger \: Given[/tex]

[tex] \\ \\ [/tex]

  • x = y - 4

  • - 10 x + 3y = 5

[tex] \\ \\ [/tex]

[tex] \bf \dagger \: Solution[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf - 10 x + 3y = 5[/tex]

Put value of x I.e y - 4 in the equation

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf - 10(y - 4) + 3y = 5[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf - 10y + 40 + 3y = 5[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf - 10y+ 3y + 40 = 5[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf -7y + 40 = 5[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf -7y = 5 - 40[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf -7y = - 35[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \cancel-7y = \cancel - 35[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf 7y = 35[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf y = \dfrac{35}{7} [/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \boxed{\sf y = 5} \star[/tex]

[tex] \\ \\ [/tex]

Now Let's find value of x.

[tex] \\ \\ [/tex]

Put value of y I equation: x = y -4

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf x = y - 4[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf x = 5 - 4[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \boxed{\sf \: x = 1} \star[/tex]

[tex] \\ \\ [/tex]

.°. value of x and y = 1 and 5 respectively

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