Could I get some help with finding the ordered pair, please?

Question

For the equation 5x + 3y = 3, complete the ordered pair ( __ , -4).

Answer 1

Hello! The ordered pair consist of an x and y value (x,y). In this case they are letting us know that y=-4

We can find the value of x by plugging in our y into the original function so we would have something like this:

5x+3(-4)=3

Now we can solve for x so we get

5x-12=3

we isolate the x by by adding 12 to both sides.

5x=15

now we divide by 5.

x=3

so your ordered pair would be

(3,-4)

Answer 2

Equation 5x + 3y = 3, complete the ordered pair ( __ , -4).

Substitute y=-4 in the equation 5x+3y=3 and find out the value of x.

5x+3y=3

5x+3(-4)=3

5x-12=3

Solve multiple step equation by adding both side number 12 and divide with number 5 to isolate x.

5x=15

x=3

Ordered pair (3,-4).

Check Answer:

Substitute value of x=3 and value of y=-4 in the the equation.

5x+3y=3

5(3)+3(-4)=3

15-12=3

3=3

Answer : (3,-4)