Question

Layla and Jacob are taking a photography class. Layla took twice as many photos as Jacob, and Jacob took 10 fewer photos than Layla. This situation can be represented with the system y = 2x and y = x +10, which can be used to find the number of photos taken by Jacob x and the number of photos taken by Layla y. Solve using systems of equations by substitution

Answer 1

x = 10; y = 20

Explanation:

y = 2x

y = x +10

Substitute y of the second equation with 2x.

2x = x + 10

x = 10

y = 2x = 2(10)

y = 20

Answer: x = 10; y = 20