Question

find the solution of the following pair of linear eqution x+y=16,x-y=4
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Answer 1

Answer:

x=10, &y=6......

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Answer 2

Answer:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation

x+y=16,x−y=4

Choose one of the equations and solve it for xx by isolating xx on the left hand side of the equal sign.

x+y=16

Subtract yy from both sides of the equation.

x=−y+16

Substitute -y+16−y+16 for xx in the other equation, x-y=4x−y=4.

−y+16−y=4

Add -y−y to -y−y.

-2y+16=4

Subtract 1616 from both sides of the equation.

−2y=−12

Divide both sides by -2−2.

y=6

Substitute 66 for yy in x=-y+16x=−y+16. Because the resulting equation contains only one variable, you can solve for xx directly.

x=-6+16

Add 1616 to -6−6.

x=10

The system is now solved.

x=10,y=6