Question

Please solve with explanation will give BRAINLIEST and Bonus Points

Answer 1

Answer: 55

Step-by-step explanation:

lets say dads age is y

lets look at the first sentence and set up an equation... with ana's age meaning x

$x = \frac{1}{5}y + 7$

ok now the second sentence

$y+19=(x+19)2$

so now lets actually work these problems out and aim to get a number without any variables on one side.

lets start with the first equation

$x-\frac{1}{5}y=7$

and now the next equation, distribute the 2.

$y+19=2x+38$

$y-19=2x$

now just switch 2x and 19 but remember do the opposite on both sides of the equal sign

$y-2x=19$

ok so now we have our final two equations here to solve our System of Equations™ just rearrange the second equation so that the x and y line up with the first equation

$x-\frac{1}{5}y=7$

$-2x+y=19$

lets MULTIPLY THE FIRST EQUATION BY 2 because then that will make the x's OPPOSITES.

$2(x- \frac{1}{5}y=7)\\2x- \frac{2}{5}y=14$

now we can add them

$2x- \frac{2}{5}y=14$

$-2x+y=19$

just literally add the x and ys together and the constants

$\frac{3}{5}y = 33$

divide 33 by 3/5

dads age is 55