Question

3. The ordered pair (10, 5) is a solution to which system of equations?

Oy=−5+x
13x + y = 135
2x+2y=30
4x + 5y = 71
Ox=-37+3y
4x + 2y = 34
2x = 14+y
2x + 2y = 20

Answer 1

Hi :)

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Let's insert 10 for x and 5 for y and see where we end up with a true statement

y=-5+x

13x+y=135

5=-5+10

13(10)+5=135

5=5

130+5=135

5=5

135=135

So here we have two true statements

So (10,5) is definitely a solution to this system

Let's try the other options

2(10)+2(5)=30

20+10=30

30=30

4(10)+5(5)=71

40+25=71

65≠71

Remember, an ordered pair is only considered a solution if it makes both equations in the system true.

x=-37+3y

10=-37+3(5)

10=-37+15

10≠-22

We already know that (10,5) is not a solution to this system, since it made the first equation false

2x=14+y

2(10)=14+5

20≠19

We already know that (10,5) is not a solution to this system, since it made the first equation false

So the answer's A

I hope that helps

Answer 2

13x+y=135

2x+2y=30

because when you substitute x (10) and y(5) you come out with the answer given to the equation