Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?

The two numbers are 40 and 3

Step-by-step explanation:

Assume that the first number is x and the second number is y

∵ Four tenths = = 0.4

∵ One tenth = = 0.1

∵ Four tenths of 1st number increased by the 2nd number equals 19

∵ The 1st number = x and the 2nd number = y

∴ 0.4x + y = 19 ⇒ (1)

∵ One tenth of the 1st number decreased by the 2nd number is equal to 1

∴ 0.1x - y = 1 ⇒ (2)

Now we have a system of equations to solve it

→ Add equations (1) and (2) to eliminate y

∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)

∴ 0.5x + 0 = 20

∴ 0.5x = 20

→ Divide both sides by 0.5 to find x

∵ =

∴ x = 40

→ Substitute the value of x in equation (1) or (2) to find y

∵ 0.4(40) + y = 19

∴ 16 + y = 19

→ Subtract 16 from both sides

∴ 16 - 16 + y = 19 - 16

∴ y = 3

∴ The two numbers are 40 and 3

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.