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52x - 3y = 5 13y = 10 + 2x​

Sagot :

[tex] \tt \: Mathematics[/tex]

[tex] \sf \red{——————————————————————}[/tex]

[tex] \tt \: step \: 1[/tex]

Consider The First Equation.Subract 513y From Both Sides.

[tex] \tt \:52x - 3y - 513y = 0[/tex]

[tex] \sf \red{——————————————————————}[/tex]

[tex] \tt \:step \: 2[/tex]

Combine -3y And -513y To Get -516y.

[tex] \tt \: 52x - 516y = 0[/tex]

[tex] \sf \red{——————————————————————}[/tex]

[tex] \tt \:step \: 3[/tex]

Consider The Second Equation.Subract 2x From Both Sides.

[tex] \tt \: 513y - 2x = 10[/tex]

[tex] \sf \red{——————————————————————}[/tex]

[tex] \tt \: step \: 4[/tex]

To Solve A Pair Of Equations Using Substitution,First Solve One Of Equations For One Of The Variables.

[tex] \tt \: 52x - 516y = 0 \: - 2x + 513y = 10[/tex]

[tex] \sf \red{——————————————————————}[/tex]

[tex] \tt \:Answer[/tex]

[tex] \tt \: x = \frac{430}{2137} = \: 0.201216659 \\ \tt \:y = \frac{130}{6411} = 0.020277648[/tex]