Question

Need help on Q1 , by using substitution and need checks

Answer 1

• 
  `\bf (-3,5)`

Explanation:

`\tt y=x+8\\x+y=2`

Substitute y= x+8, into x + y=2:-

`\tt x+y=2`

Let y = x+8

`\tt x+x+8=2`

`\tt 2x+8=2`

Solve for x :-

`\tt 2x+8=2`

Subtract both sides by 8:-

`\tt 2x+8-8=2-8`

`\tt 2x=-6`

Divide both sides by 2:-

`\tt \cfrac{2x}{2} =\cfrac{-6}{2}`

`\boxed{\bf x=-3}`

Now, to solve for y, Substitute x = -3 into y=x+8:-

`\tt y=x+8`

Let x = -3

`\tt y=-3+8`

Simplify:-

*-3 + 8 = 5*

`\boxed{ \bf y=5}`

Therefore, the solutions to the given system are x= -3 & y =5.

______________________

Hope this helps!

Answer 2

x = -3 ; y = 5

Explanation:

Hey there!

This question has given us information about both of the given variables, x, and y

It tells us the y is equal to x plus 8 and that x plus y is equal to 2

If y is equal to x plus 8, we can

substitute the y value into the second equation

This will give us the following equation:

x + (x + 8) = 2

Now we simplify to solve for x

2x + 8 = 2

2x = -6

x = -3

Now that we know the x value, we can substitute that value into any one of the two equations given to solve for y

I'm going to use the first equation

Since we know that x is -3, we can now input it into the first equation and then simplify;
y = -3 + 8

y = 5