& show work!

1. suzette ran and bikes for a total of 110 mi in 7 h. her average running speed was 5 mph and her average biking speed was 20 mph.

let x = total hours suzette ran.
let y = total hours suzette biked.

use substitution to solve for x and y. show your work. check your solution.

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Finding x.

Suzette ran = x

Suzette biked = 4x

7 = x + 4x --) 7 = 5x --)  1.4 = x

Suzette ran for 1.4 hours

Finding y.

Quickest way is to use Suzette biked = 4x and substitute the x for 1.4 to find how much she biked.

4 x 1.4 = 5.6

1.4 + 5.6 = 7 hours the total time exercising

And the mileage adds up to.

5(1.4) + 20(5.6) = 119

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116