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Let's write down what we do know:

Jonathan uploaded

x songs and y pictures

His total uploads is 11.

Thus his equation would be x +y=11

Alissa uploaded

four times as many songs as Jonathan (4x) and twice as many pictures (2y)

Her total uploads is 24.

Thus her equation is 4x+2y=24.

Let's try the substitution method:

Solve for y on Jonathan's equation

x+y=11 (subtract x from both sides)

y=-x+11.

Substitute y=(-x+11) into 4x+2y=24

4x+2(-x+11)=24 (distribute the 2 to the stuff in the parenthesis)

4x-2x+22=24 (combine like terms)

2x+22=24 (subtract 22 from both sides)

2x=2 (divide by 2)

x=1.

Use x=1 into Jonathan's equation.

1+y=11 (subtract 1 from both sides)

y=10.

Therefore Jonathan uploaded 1 song and 10 pictures.

Let's check our work by using Alissa equation:

4(1)+2(10)=24! Which is the right answer.

Thus our answer for this problem is 1, since Jonathan only uploaded 1 song. (Remember x refers to the number of songs, and y refers to the number of pictures.)

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