Question

HELP!!!!
Is the first one correct?
I don’t know how to do the other ones

Answer 1

`\sf\\\textsf{1. Solution:}\\(x,y)=(-2,-7)\\\textsf{i.e. }x=-2\textsf{ and }y=-7\\\textsf{Putting these value in the first equation,}\\5x-y=-3\\\textsf{or, }5(-2)-(-7)=-3\\\textsf{or, }-10+7=-3\\\textsf{or, }-3=-3\ \ \ (True)\\\textsf{So the given ordered pair satisfies the first equation.}`

`\sf\\\textsf{Now we put the same values, i.e. x=-2 and y=-7 in the second equation.}\\x+3y=-23\\\textsf{or, }-2+3(-7)=-23\\\textsf{or, }-2-21=-23\\\textsf{or, }-23=-23(True)\\\textsf{Therefore, the given ordered pair also satisfies the second equation.}`

`\textsf{Hence, the ordered pair is a solution to the system of equations.}`

`\sf\\\textsf{2. Solution:}\\(x,y)=(3,2)\\\textsf{i.e. }x=3 \textsf{ and }y=2\\\textsf{Substituting x=3 and y=2 in first equation,}\\2(3)+2=8\\\textsf{or, }6+2=8\\\textsf{or, }8=8(True)\\\textsf{i.e. The given ordered pair satisfies the first equation.}`

`\sf\\\textsf{Now, putting values of x and y in second equation,}\\3(3)-2=11\\\textsf{or, }9-2=11\\\textsf{or, }7=11(False)\\\textsf{So the ordered pair does not satisfy the second equation.}\\\textsf{Hence the ordered pair is not a solution to the system of equations.}`

Now do Q No. 3 and 4 using same concept. Hope this helps!

Answer 2

See below.

Explanation:

1. Yes the ordered pair is a solution

2. No it is not.

3. No it is not.

4. Yes it is