Question

solve
$x + y = 6 and \: x - y = 2$
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Answer 1

Answer:

Step-by-step explanation:

$\huge\textsf{We have}$

$\textsf{x+y = 6---------(1)}\\\textsf{x-y= 2--------(2)}$

$\textbf{We will use ELIMINATION METHOD}$

But How?

We will add (1) and (2),

Here +y and -y cancels,

So we have the equation as

2x=8

x= 8/2

x= 4

Now taking any of the Equation lets say (1)

4+y=6  --------------(Placing 4 in place of x)

y=6-4

y=2

What is Elimination Method?

The process in which we remove one of the digits to find the another digit and then find the first digit is ELIMINATION METHOD.

Substitution Method

The process in which we take the first digit with respect to second digit to find the value of both digits is substitution method.

Answer 2

Answer:

The solution is

Explanation:

x+y=6.......1equation.

x-y=2.........2equation

Solving by elimination.

Adding equations

1 and 2

x+y=6

x-y=2

now y is cut and left

2x=8

x=4

Finding y by substituting x in equation 1

x+y=6

y=6−x

y=6−4

y=2